Periodic solutions of the hybrid system with small parameter

Date

2008-06-01

Author

Akhmet, Marat
Buyukadali, C.
Ergenc, T.

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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

Citation Formats

M. Akhmet, C. Buyukadali, and T. Ergenc, “Periodic solutions of the hybrid system with small parameter,” NONLINEAR ANALYSIS-HYBRID SYSTEMS, vol. 2, no. 2, pp. 532–543, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41348.