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Start Over Descriptor "Exponential dichotomy" Topic differential equation

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1. On the Differential Equations with Piecewise Constant Argument.

Author

Dads, Elhadi Ait, Khelifi, Safoua, and Miraoui, Mohsen

Subjects
*DIFFERENTIAL equations, *EXPONENTIAL dichotomy, *DIFFERENCE equations
Abstract

In this paper, we introduce a concept of pseudo S -asymptotically ω-periodic (PSAPω) solutions, we establish some new composition theorems. By using the roughness theory of exponential dichotomies and the contraction mapping, some sufficient conditions are obtained for the existence and uniqueness of PSAPω solutions (abbreviated in EPCA) for some difference and differential equations with piecewise constant argument. [ABSTRACT FROM AUTHOR]

Published
2023
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