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Periodic solutions of the hybrid system with small parameter
Date
2008-06-01
Author
Akhmet, Marat
Buyukadali, C.
Ergenc, T.
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed.
Subject Keywords
Control and Systems Engineering
,
Analysis
,
Computer Science Applications
URI
https://hdl.handle.net/11511/41348
Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
DOI
https://doi.org/10.1016/j.nahs.2006.07.005
Collections
Department of Mathematics, Article