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 PDEs 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.

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.

Includes bibliographical references (pages 471-496) and indexes.

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