S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space

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DOI:

https://doi.org/10.4067/S0719-06462014000300005

Abstract

In this paper, we give some sufficient conditions for the existence and uniqueness of S-asymptotically ω-periodic (mild) solutions for a differential equation with piecewise constant argument, when ω is an integer. An example is also given in order to illustrate the result.

Keywords

S-asymptotically ω-periodic function , differential equations with piecewise constant argument , semigroup
  • William Dimbour Laboratoire C.E.R.E.G.M.I.A. Universit ́e des Antilles et de la Guyane, Campus Fouillole 97159 Pointe-a`-Pitre Guadeloupe (FWI)
  • Jean-Claude Mado Laboratoire C.E.R.E.G.M.I.A. Universit ́e des Antilles et de la Guyane, Campus Fouillole 97159 Pointe-a`-Pitre Guadeloupe (FWI)
  • Pages: 55-65
  • Date Published: 2014-10-01
  • Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

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Published

2014-10-01

How to Cite

[1]
W. Dimbour and J.-C. Mado, “S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space”, CUBO, vol. 16, no. 3, pp. 55–65, Oct. 2014.

Issue

Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

Section

Articles