On the Differential Equations with Piecewise Constant Argument

On the Differential Equations with Piecewise Constant Argument

In this paper, we introduce a concept of pseudo S -asymptotically ω -periodic ( P S A P ω ) 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 uniqu...

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Veröffentlicht in:Journal of dynamical and control systems 2023-10, Vol.29 (4), p.1251-1269
Hauptverfasser: Dads, Elhadi Ait, Khelifi, Safoua, Miraoui, Mohsen
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Control
Dichotomies
Differential equations
Dynamical Systems
Dynamical Systems and Ergodic Theory
Mathematical analysis
Mathematics
Mathematics and Statistics
Systems Theory
Vibration
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Zusammenfassung:In this paper, we introduce a concept of pseudo S -asymptotically ω -periodic ( P S A P ω ) 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 P S A P ω solutions (abbreviated in EPCA) for some difference and differential equations with piecewise constant argument.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-022-09633-x