Half-Linear Differential Equations

Ondřej Doślý and Pavel Řehák (Eds.)9780444520395, 0444520392

The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential 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 :
Content:
Preface
Pages v-vii
Ondřej Došlý, Pavel Řehák

Chapter 1 Basic theory Original Research Article
Pages 1-45

Chapter 2 Methods of oscillation theory Original Research Article
Pages 47-81

Chapter 3 Oscillation and nonoscilation criteria Original Research Article
Pages 83-121

Chapter 4 Nonoscillatory solutions Original Research Article
Pages 123-188

Chapter 5 Various oscillation problems Original Research Article
Pages 189-310

Chapter 6 Boundary value problems for half-linear differential equations Original Research Article
Pages 311-351

Chapter 7 Partial differential equations with p-laplacian Original Research Article
Pages 353-382

Chapter 8 Half-linear difference equations Original Research Article
Pages 383-416

Chapter 9 Related differential equations and inequalities Original Research Article
Pages 417-470

Bibliography
Pages 471-496

Index
Pages 497-513

Author index
Pages 515-517