Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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. .

Differential equations. --- Linear algebra. --- Nonlinear functional analysis. --- Nonlinear functional analysis --- Differential equations --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Calculus --- 517.91 Differential equations --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Partial differential equations. --- Calculus of variations. --- Analysis. --- Functional Analysis. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Global analysis (Mathematics). --- Differential equations, partial. --- Mathematical optimization. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- 517.1 Mathematical analysis --- Isoperimetrical problems --- Variations, Calculus of --- Differential Equations. --- Calculus of Variations and Optimization.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Functional analysis --- Partial differential equations --- Mathematical analysis --- Numerical methods of optimisation --- differentiaalvergelijkingen --- analyse (wiskunde) --- functies (wiskunde) --- kansrekening --- optimalisatie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. An elementary introduction to the basic principles of partial differential equations. With many illustrations. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

Differential equations, Partial --- Wave-motion, Theory of --- Laplace equation. --- Partial differential equation. --- diffusion equation. --- wave equation.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Theatrical science --- Drama --- drama [literature] --- performance art --- plays [performed works] --- anno 1500-1799 --- drama [discipline] --- plays [performing arts compositions]

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, writtenby leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields, in order to make the chapters of the volume accessible to a wide audience.. Six chapters covering a variety of problems in ordinary differential equations. . Both, pure mathematical research and real word applications are reflected. Written by leading researc

Differential equations --- Mathematics. --- Math --- Science --- 517.91 Differential equations