Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay
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Taoufik Chitioui
chtioui.taoufik@yahoo.fr
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Khalil Ezzinbi
ezzinbi@gmail.com
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Amor Rebey
ezzinbi@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462013000100004Abstract
In this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with respect to the fractional power of the generator. For illustration, some application is provided for some model with diffusion and nonlinearity in the gradient.
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Published
2013-03-01
How to Cite
[1]
T. Chitioui, K. Ezzinbi, and A. Rebey, “Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay”, CUBO, vol. 15, no. 1, pp. 49–75, Mar. 2013.
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