Stability of differential equations with piecewise constant arguments of generalized type

Date

2008-02-15

Author

Akhmet, Marat

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In this paper we continue to consider differential equations with piecewise constant argument of generalized type (EPCAG) [M.U. Akhmet, Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Anal. TMA 66 (2007) 367-383]. A deviating function of a new form is introduced. The linear and quasilinear systems are under discussion. The structure of the sets of solutions is specified. Necessary and Sufficient conditions for stability of the zero Solution are obtained. Our approach can be fruitfully applied to the investigation of stability, oscillations, controllability and many other problems of EPCAG. Some of the results were announced at The International Conference on Hybrid Systems and Applications, University of Louisiana, Lafayette, 2006.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/46545

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

DOI

https://doi.org/10.1016/j.na.2006.11.037

Collections

Department of Mathematics, Article

Citation Formats

M. Akhmet, “Stability of differential equations with piecewise constant arguments of generalized type,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol. 68, no. 4, pp. 794–803, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46545.