Differential equations with state-dependent piecewise constant argument

Date

2010-06-01

Author

Akhmet, Marat

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A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution are obtained. Appropriate examples are constructed.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/49257

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

DOI

https://doi.org/10.1016/j.na.2010.01.050

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Differential equations with state-dependent piecewise constant argument,” NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, pp. 4200–4210, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49257.