Oscillation of Fourth-order Dynamic Equations

Abstract

In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor's formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamic equation; Fourth-order; Oscillation; Time scales

International Standard Serial Number (ISSN)

1303-5010

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Hacettepe University, All rights reserved.

Publication Date

01 Jan 2010

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