EXISTENCE AND STABILITY IN THE α-NORM FOR NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH FINITE DELAY
2013; University of La Frontera; Volume: 15; Issue: 1 Linguagem: Espanhol
10.4067/s0719-06462013000100004
ISSN0719-0646
AutoresTaoufik Chitioui, Khalil Ezzinbi, Amor Rebey,
Tópico(s)Nonlinear Differential Equations Analysis
ResumoIn 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. RESUMENEn este trabajo estudiamos la existencia, regularidad y estabilidad de soluciones para una clase de ecuaciones diferenciales parciales funcionales neutrales.Asumimos que la parte lineal genera un semigrupo compacto analítico en un espacio de Banach X, la parte retardada se asume continua respecto de la potencia fraccional del generador.Como ejemplo, se muestra una aplicación para un modelo con difusión y no linealidad en el gradiente.
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