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Oscillatory and Nonoscillatory Delay Equations with Piecewise Constant Argument

✍ Scribed by J.H. Shen; I.P. Stavroulakis


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
104 KB
Volume
248
Category
Article
ISSN
0022-247X

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✦ Synopsis


We introduce a new technique to analyze certain difference equations to obtain some new type and also ''best possible'' oscillation and nonoscillation criteria for the nonautonomous delay differential equation with piecewise constant argument Ž . Ž . Ž . Ž . Žw x. Ž. Ž. of the form yЈ t q a t y t q b t y t y 1 s 0, where a t and b t are continuw . Ž . w x ous functions on y1, ϱ , b t G 0, and и denotes the greatest integer function.


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✍ Tassilo KΓΌpper; Rong Yuan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 150 KB

We study the existence of quasi-periodic solutions to differential equations with piecewise constant argument (EPCA, for short). It is shown that EPCA with periodic perturbations possess a quasi-periodic solution and no periodic solution. The appearance of quasi-periodic rather than periodic solutio