Selma Baghli, Mouffak Benchohra
Abstract:
This article shows sufficient conditions for the existence
of mild solutions, on the positive half-line, for two classes
of first-order functional and neutral functional perturbed
differential evolution equations with infinite delay.
Our main tools are: the nonlinear alternative proved by Avramescu
for the sum of contractions and completely continuous maps
in Frechet spaces, and the semigroup theory.
Submitted April 15, 2008. Published May 13, 2008.
Math Subject Classifications: 34G20, 34K40.
Key Words: Perturbed functional equation; neutral evolution equations;
mild solution; fixed-point theory; nonlinear alternative;
Frechet spaces; infinite delay.
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Selma Baghli Laboratoire de Mathématiques Université de Sidi Bel Abb&egarve;s BP 89, 2000 Sidi Bel Abbès, Algérie email: selma_baghli@yahoo.fr |
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Mouffak Benchohra Laboratoire de Mathématiques Université de Sidi Bel Abb&egarve;s BP 89, 2000 Sidi Bel Abbès, Algérie email: benchohra@univ-sba.dz |
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