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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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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.