Oscillation Theory of Two-Term Differential Equations by Uri EliasOscillation Theory of Two-Term Differential Equations by Uri Elias

Oscillation Theory of Two-Term Differential Equations

byUri Elias

Paperback | December 7, 2010

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This volume is about oscillation theory. In particular, it considers the two-term linear differential equations Lny + p(x)y = 0, where Ln is a disconjugate operator of order n and p(x) has a fixed sign. Special attention is paid to the equation y(n) + p(x)y = 0. These equations enjoy a very rich structure and are the natural generalization of the Sturm-Liouville operator. Our aim is to introduce an order among the results which are distributed over hundreds of research papers, and arrange them in a unified and self-contained way. Many new proofs are given and the original proof is never copied verbatim. Numerous new results are included. Among the topics which are discussed are oscillation and nonoscillation, disconjugacy, various types of disfocality, extremal configurations of zeros, comparison theorems, classification of solutions according to their behaviour near infinity and their dominance properties. Audience: This work will be of interest to researchers and graduate students interested in the qualitative theory of differential equations.
Title:Oscillation Theory of Two-Term Differential EquationsFormat:PaperbackDimensions:228 pages, 10.98 × 8.27 × 0 inPublished:December 7, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148065

ISBN - 13:9789048148066

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Table of Contents

Preface. 0. Introduction. 1. The Basic Lemma. 2. Boundary Value Functions. 3. Bases of Solutions. 4. Comparison of Boundary Value Problems. 5. Comparison Theorems for Two Equations. 6. Disfocality and Its Characterization. 7. Various Types of Disfocality. 8. Solutions on an Infinite Interval. 9. Disconjugacy and its Characterization. 10. Eigenvalue Problems. 11. More Extremal Points. 12. Minors of the Wronskian. 13. The Dominance Property of Solutions. References. Index.