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Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments

✍ Scribed by Manuel Pinto

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
581 KB
Volume
49
Category
Article
ISSN
0895-7177

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✦ Synopsis

We consider nonlinear differential equations with piecewise constant arguments in the general case. This is based in the study of an equivalent integral equation, and in a solution of an integral inequality of Gronwall type. We establish the existence, uniqueness and the asymptotic behavior of the solutions of the equations. Equivalences, including unbounded solutions, with simpler equations are obtained.

πŸ“œ SIMILAR VOLUMES

On Quasi-Periodic Solutions of Different
On Quasi-Periodic Solutions of Differential Equations with Piecewise Constant Argument
✍ 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