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QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT
Date
2014-03-01
Author
Akhmet, Marat
Metadata
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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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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.