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.
Recommended Citation
S. R. Grace et al., "Oscillation of Fourth-order Dynamic Equations," Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 545 - 553, Hacettepe University, Jan 2010.
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