Half-Linear Differential Equations

Ondrej Dosly, Pavel Rehak

• Publisher: North Holland
• Year: 2005
• ISBN:
  9780080461236
• Topic: Mathematics
• Subtopic: Differential Equations
• Index: Mathematics

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.

Table of contents

• Cover image
• Title page
• Table of Contents
• North-Holland Mathematics Studies 202
• Copyright page
• Preface
• Chapter 1: Basic Theory
• Chapter 2: Methods of Oscillation Theory
• Chapter 3: Oscillation and Nonoscillation Criteria
• Chapter 4: Nonoscillatory Solutions
• Chapter 5: Various Oscillation Problems
• Chapter 6: Boundary Value Problems for Half-Linear Differential Equations
• Chapter 7: Partial Differential Equations with p-Laplacian
• Chapter 8: Half-Linear Difference Equations
• Chapter 9: Related Differential Equations and Inequalities
• Bibliography
• Index
• Author Index