Oscillation of delay differential equations on time scales
β Scribed by B.G Zhang; Xinghua Deng
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 614 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
Consider the following equation:
where t is in a measure chain. We apply the theory of measure chains to investigate the oscillation and nonoscillation of the above equation on the basis of some well-known results. And in some sense, we show a method to unify the delay differential equation and delay difference equation.
π SIMILAR VOLUMES
It is the purpose of this paper to give oscillation criteria for the third order nonlinear delay dynamic equation on a time scale T, where Ξ³ β₯ 1 is the quotient of odd positive integers, a and r are positive rd-continuous functions on T, and the so-called delay function Ο : T β T satisfies Ο (t) β€
By using the generalized Riccati transformation and the inequality technique, we establish a few new oscillation criterions for certain second-order half-linear delay dynamic equations with damping on a time scale. Our results extend and improve some known results, but also unify the oscillation of