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Formal And Analytic Solutions Of Differential Equations

de Galina Filipuk, Alberto Lastra, Slawomir Michalik ...

The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their ... Leer más

$106.19 USD

The book provides the reader with an overview of the actual state of research in ordinary and partial differential equations in the complex domain. Topics include summability and asymptotic study of both ordinary and partial differential equations, and also q-difference and differential-difference equations. This book will be of interest to researchers and students who wish to expand their
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Notes on the Infinity Laplace Equation

de Peter Lindqvist ...

Series series Mathematics and Statistics (R0)
This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to ... Leer más

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This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to
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Sloshing in Upright Circular Containers

Theory, Analytical Solutions, and Applications

de Ihor Raynovskyy, Alexander Timokha ...

Series series Mathematics and its Applications
This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear.The book offers an extended description of the ... Leer más

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This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear.The book offers an extended description of the
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Recent Advances in Pure and Applied Mathematics

Edición de Francisco Ortegón Gallego, Juan Ignacio García García ...

Series series Mathematics and Statistics (R0)
This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and ... Leer más

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This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and
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Linear Differential Equations in the Complex Domain

From Classical Theory to Forefront

de Yoshishige Haraoka ...

Series series Mathematics and Statistics (R0)
This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, ... Leer más

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This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems,
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Introductory Mathematical Analysis for Quantitative Finance

de Daniele Ritelli, Giulia Spaletta ...

Series series Chapman and Hall/CRC Financial Mathematics Series
Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed.The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact ... Leer más

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Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed.The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact
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Stochastic Differential Inclusions and Applications

de Michał Kisielewicz ...

Series series Mathematics and Statistics (R0)
This book aims to further develop the theory of stochastic functional inclusions and their applications for describing the solutions of the initial and boundary value problems for partial differential inclusions. The self-contained volume is designed to introduce the reader in a systematic fashion, to new methods of the stochastic optimal control theory from the very beginning. The exposition ... Leer más

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This book aims to further develop the theory of stochastic functional inclusions and their applications for describing the solutions of the initial and boundary value problems for partial differential inclusions. The self-contained volume is designed to introduce the reader in a systematic fashion, to new methods of the stochastic optimal control theory from the very beginning. The exposition
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Principles of Continuum Mechanics

A Basic Course for Physicists

de Zdeněk Martinec ...

Series series Mathematics and Statistics (R0)
This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book ... Leer más

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This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book
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Fourier Methods in Science and Engineering

de Weiming Sun, Wen Li ...

This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems.Beginning with an overview of the conventional Fourier series theory, ... Leer más

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This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems.Beginning with an overview of the conventional Fourier series theory,
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Special Functions of Mathematical (Geo-)Physics

de Willi Freeden, Martin Gutting ...

Series series Mathematics and Statistics (R0)
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross ... Leer más

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Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross
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Nonoscillation Theory of Functional Differential Equations with Applications

de Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky ...

Series series Mathematics and Statistics (R0)
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays ... Leer más

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This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays
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Stability of Dynamical Systems

On the Role of Monotonic and Non-Monotonic Lyapunov Functions

de Ling Hou, Anthony N. Michel, Derong Liu ...

Series series Mathematics and Statistics (R0)
The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as ... Leer más

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The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as
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Topics in Contemporary Mathematical Analysis and Applications

Edición de Hemen Dutta ...

Series series Mathematics and its Applications
Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related ... Leer más

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Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related
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Fixed Point Theorems and Applications

de Vittorino Pata ...

Series series Mathematics and Statistics (R0)
This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ... Leer más

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This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results
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Partial Differential Equations: Modeling, Analysis and Numerical Approximation

de Hervé Le Dret, Brigitte Lucquin ...

Series series Mathematics and Statistics (R0)
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each ... Leer más

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This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each
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An Introduction to the Method of Fundamental Solutions

de Alexander H-D Cheng, C S Chen, Andreas Karageorghis ...

Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in ... Leer más

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Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in
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Semigroup Theory and Evolution Equations

The Second International Conference

Edición de Philippe Clement ...

Series series Lecture Notes in Pure and Applied Mathematics
Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e ... Leer más

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Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e
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Trends in Contemporary Mathematics

Edición de Vincenzo Ancona, Elisabetta Strickland ...

Series series Springer Nature Proceedings excluding Computer Science
The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non ... Leer más

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The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non
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Integral Representations For Spatial Models of Mathematical Physics

de Vladislav V Kravchenko, Michael Shapiro ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of ... Leer más

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This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of
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Singularities and Computer Algebra

Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday

Edición de Wolfram Decker, Gerhard Pfister, Mathias Schulze ...

Series series Mathematics and Statistics (R0)
This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, ... Leer más

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This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems,
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Fractional Calculus in Medical and Health Science

Edición de Devendra Kumar, Jagdev Singh ...

Series series Mathematics and its Applications
This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them.The mathematical results included in the book will be helpful to mathematicians and doctors by enabling ... Leer más

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This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them.The mathematical results included in the book will be helpful to mathematicians and doctors by enabling
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Biharmonic Problem in the Theory of Elasticity

de Sergey A. Lurie ...

This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. All ... Leer más

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This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. All
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Engineering Mathematics with MATLAB Applications: Vol. 2, Advanced Topics

de Hasan Kurtaran ...

Series series Engineering (R0)
This book provides a comprehensive approach to engineering mathematics, concentrating on advanced topics. The book is the second of two complementary textbooks. Volume 2 covers analytical, approximate (semi-analytical), and numerical solution of differential equations, finite element and optimization methods. Within the context of numerical solution of differential equations, explicit and implicit ... Leer más

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This book provides a comprehensive approach to engineering mathematics, concentrating on advanced topics. The book is the second of two complementary textbooks. Volume 2 covers analytical, approximate (semi-analytical), and numerical solution of differential equations, finite element and optimization methods. Within the context of numerical solution of differential equations, explicit and implicit
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Fractional Calculus and Fractional Differential Equations

Edición de Varsha Daftardar-Gejji ...

Series series Springer Nature Proceedings excluding Computer Science
This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the ... Leer más

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This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the
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eBooks de Ecuaciones diferenciales

Formal And Analytic Solutions Of Differential Equations

Notes on the Infinity Laplace Equation

Sloshing in Upright Circular Containers

Recent Advances in Pure and Applied Mathematics

Linear Differential Equations in the Complex Domain

Introductory Mathematical Analysis for Quantitative Finance

Stochastic Differential Inclusions and Applications

Principles of Continuum Mechanics

Fourier Methods in Science and Engineering

Special Functions of Mathematical (Geo-)Physics

Nonoscillation Theory of Functional Differential Equations with Applications

Stability of Dynamical Systems

Topics in Contemporary Mathematical Analysis and Applications

Fixed Point Theorems and Applications

Partial Differential Equations: Modeling, Analysis and Numerical Approximation

An Introduction to the Method of Fundamental Solutions

Semigroup Theory and Evolution Equations

Trends in Contemporary Mathematics

Integral Representations For Spatial Models of Mathematical Physics

Singularities and Computer Algebra

Fractional Calculus in Medical and Health Science

Biharmonic Problem in the Theory of Elasticity

Engineering Mathematics with MATLAB Applications: Vol. 2, Advanced Topics

Fractional Calculus and Fractional Differential Equations