Half-Linear Differential Equations

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Elsevier, Jul 6, 2005 - Mathematics - 532 pages
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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.
 

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Contents

body
1
Methods of Oscillation Theory
47
Oscillation and Nonoscillation Criteria
83
Nonoscillatory Solutions
123
Various Oscillation Problems
189
BVPs for HalfLinear Differential Equations
311
Partial Differential Equations with pLaplacian
353
HalfLinear Difference Equations
383
Related Differential Equations and Inequalities
417
back matter
469
Bibliography
471
index
497
Author Index
515
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Page vii - It can be used as a textbook at the graduate level and as a reference book for several disciplines.

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