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.

Key Features

- 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.


University libraries worthwide, individuals interested in the topics.

Table of Contents

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


No. of pages:
© 2005
North Holland
eBook ISBN:
Print ISBN:
Print ISBN:

About the authors

Ondrej Dosly

Affiliations and Expertise

Department of Mathematics, Masaryk University, Brno, Czech Republic

Pavel Rehak

Affiliations and Expertise

Mathematical Institute, Academy of Sciences of the Czech Republic, Brno, Czech Republic


"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