LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

Date

2009-10-01

Author

Akhmet, Marat

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At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.

Subject Keywords

Differential equations with piecewise constant argument of generalized type, Lyapunov's second method, Razumikhin technique, Logistic equation

URI

https://hdl.handle.net/11511/39339

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

DOI

https://doi.org/10.3934/dcds.2009.25.457

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT,” DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, pp. 457–466, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39339.