This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the st...

Y, como con el bostezo, la risa, el frío o la juventud, aquí estamos, proponiendo contagiar la gran aventura humana: la ciencia. En lugar de abrir la boca bostezando, contagiar el reflejo por el que se nos caen la mandíbulas frente a un descubrimiento, compartir la risa de un experimento, el escalofrío de saber que, por un momento, hay un secreto de la naturaleza que sólo conocemos nosotros (y la naturaleza, claro), la juventud que implica estar siempre a la caza de preguntas. Más allá de ...

This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide ...