TY - BOOK ID - 8060687 TI - Methods of Nonlinear Analysis : Applications to Differential Equations AU - Drabek, Pavel. AU - Milota, Jaroslav. PY - 2013 SN - 3034807597 3034803869 3034803877 9783034803861 PB - Basel : Springer Basel : Imprint: Birkhäuser, DB - UniCat KW - Differential equations. KW - Linear algebra. KW - Nonlinear functional analysis. KW - Nonlinear functional analysis KW - Differential equations KW - Mathematics KW - Engineering & Applied Sciences KW - Physical Sciences & Mathematics KW - Applied Mathematics KW - Calculus KW - 517.91 Differential equations KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Functional analysis. KW - Partial differential equations. KW - Calculus of variations. KW - Analysis. KW - Functional Analysis. KW - Partial Differential Equations. KW - Calculus of Variations and Optimal Control; Optimization. KW - Global analysis (Mathematics). KW - Differential equations, partial. KW - Mathematical optimization. KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Partial differential equations KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - 517.1 Mathematical analysis KW - Isoperimetrical problems KW - Variations, Calculus of KW - Differential Equations. KW - Calculus of Variations and Optimization. UR - https://www.unicat.be/uniCat?func=search&query=sysid:8060687 AB - In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. . ER -