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  • Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

    Series series Engineering (R0)
    Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov ... Leer más

    $1,656 MXN

  • Lyapunov Functionals and Stability of Stochastic Difference Equations

    Series series Engineering (R0)
    Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional.Lyapunov Functionals and Stability of Stochastic Difference Equations describes a ... Leer más

    $1,656 MXN

  • Optimal Control of Stochastic Difference Volterra Equations

    An Introduction

    Series series Engineering (R0)
    This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics, ... Leer más

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  • Analysis and Geometry of Markov Diffusion Operators

    Series series Mathematics and Statistics (R0)
    The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At ... Leer más

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  • Semigroups of Operators -Theory and Applications

    Będlewo, Poland, October 2013

    Series series Springer Nature Proceedings excluding Computer Science
    Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The ... Leer más

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  • Poisson Point Processes and Their Application to Markov Processes

    de Kiyosi Itô ...
    Series series SpringerBriefs in Probability and Mathematical Statistics
    An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions ... Leer más

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  • Convergence of One-Parameter Operator Semigroups

    In Models of Mathematical Biology and Elsewhere

    Series Libro 30 - New Mathematical Monographs
    This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications ... Leer más

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  • Equations Involving Malliavin Calculus Operators

    Applications and Numerical Approximation

    Series series Mathematics and Statistics (R0)
    This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its ... Leer más

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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Leer más

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  • Multi-Layer Potentials and Boundary Problems

    for Higher-Order Elliptic Systems in Lipschitz Domains

    Series series Mathematics and Statistics (R0)
    Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods ... Leer más

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  • Introduction to Calculus and Classical Analysis

    de Omar Hijab ...
    Series series Mathematics and Statistics (R0)
    Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. This fourth edition includes corrections as well as some additional material.Some features of the text:• The text is completely self-contained and starts with the real number axioms;• The integral is defined as the ... Leer más

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  • Analysis and Geometry in Control Theory and its Applications

    Series series Mathematics and Statistics (R0)
    Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which ... Leer más

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