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Asymptotically Antiperiodic Solutions for a Nonlinear Differential Equation with Piecewise Constant Argument in a Banach Space
UMR Espace-Dev Université de Guyane, Cayenne, Guyane
Laboratoire C.E.R.E.G.M.I.A. Université des Antilles, Pointe-à-Pitre, Guadeloupe
- 1 UMR Espace-Dev Université de Guyane, Cayenne, Guyane
- 2 Laboratoire C.E.R.E.G.M.I.A. Université des Antilles, Pointe-à-Pitre, Guadeloupe
Applied Mathematics·Volume 07 (2016)·Pages 1726–1733·Published 12 September 2016·DOI10.4236/am.2016.715145
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Abstract
In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically w -antiperiodic solutions for a nonlinear differential equation with piecewise constant argument in a Banach space when w is an integer. This is done using the Banach fixed point theorem. An example involving the heat operator is discussed as an illustration of the theory.
KeywordsAsymptotically ω-Antiperiodic FunctionsDifferential Equations with Piecewise Constant ArgumentSemi-Group
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