Half-Linear Differential Equations


  • Ondrej Dosly, Department of Mathematics, Masaryk University, Brno, Czech Republic
  • Pavel Rehak, Mathematical Institute, Academy of Sciences of the Czech Republic, Brno, Czech Republic

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.
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University libraries worthwide, individuals interested in the topics.


Book information

  • Published: July 2005
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-52039-5


"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

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