QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT

Date

2014-03-01

Author

Akhmet, Marat

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We introduce a new class of differential equations, retarded differential equations with functional dependence on piecewise constant argument, RFDEPCA, and focus on quasilinear systems. Formulation of the initial value problem, bounded solutions, periodic and almost periodic solutions, their stability are under investigation. Illustrating examples are provided.

Subject Keywords

Retarded differential equations, Almost-Periodic Solutions, Generalized type, Sufficient condition, Time-dependence, Delay equation, Stability, Spectrum

URI

https://hdl.handle.net/11511/38970

Journal

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

DOI

https://doi.org/10.3934/cpaa.2014.13.929

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT,” COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, pp. 929–947, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38970.