Half-Linear Differential Equations: Volume 202

ISBN-13: 9780444520395 / Angielski / Twarda / 2005 / 532 str.

Ondrej Doly; Pavel Rehak; Ondrej Dosly

Opis

The book presents a systematic and compact treatment of the qualitative theory of half-linear
differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.

- The first complete treatment of the qualitative theory of half-linear differential equations.
- Comparison of linear and half-linear theory.
- Systematic approach to half-linear oscillation and asymptotic theory.
- Comprehensive bibliography and index.
- Useful as a reference book in the topic.

Recenzje

"The book is not only a unified presentation and collection of published papers scattered in many journals, but also a clearly written comprehensive text which includes new results, as well as new proofs of existing results." --ZENTRALBLATT MATH

Spis treści

Preface.1. Basic Theory.2 Methods of Oscillation Theory.3 Oscillation and Nonoscillation Criteria.4 Nonoscillatory Solutions.5 Various Oscillation Problems.6 BVP's for Half-Linear Differential Equations.7 Partial Differential Equations with p-Laplacian.8 Half-Linear Difference Equations.9 Related Differential Equations and Inequalities.Bibliography.Index.Author Index