The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The bo
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercise
This self-contained textbook provides the basic, abstract?tools?used in?nonlinear analysis?and their applications to semilinear elliptic boundary value problems and displays how various?approaches?can
A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from el
This book has been awarded the Ferran Sunyer i Balaguer 2005 prize.The aim of this monograph is to discuss several elliptic problems on Rn with two main features: they are variational and perturbativ
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. The book is intended to accompany advanced courses for st