William Dimbour, Gisele Mophou, Gaston M. N'Guerekata
Abstract:
In this article, we give some sufficient conditions for the
existence and uniqueness of S-asymptotically periodic
(mild) solutions for some partial functional differential
equations. To illustrate our main result, we study a diffusion
equation with delay.
Submitted August 11, 2011. Published September 14, 2011.
Math Subject Classifications: 34K05, 34A12, 34A40.
Key Words: S-asymptotically periodic function; mild solution;
exponentially stable semigroup; fractional power operator.
Show me the PDF file (236 KB), TEX file for this article.
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William Dimbour Laboratoire C.E.R.E.G.M.I.A., Université des Antilles et de La Guyane Campus Fouillole 97159 Pointe-à-Pitre Guadeloupe (FWI) email: William.Dimbour@univ-ag.fr |
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Gisèle M. Mophou Laboratoire C.E.R.E.G.M.I.A., Université des Antilles et de La Guyane Campus Fouillole 97159 Pointe-à-Pitre Guadeloupe (FWI) email: gisele.Mophou@univ-ag.fr |
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Gaston M. N'Guérekata Department of Mathematics, Morgan State University 1700 East Cold Spring Lane, Baltimore, MD 21251, USA email: Gaston.N'Guerekata@morgan.edu, nguerekata@aol.com |
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