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Existence results for partial neutral functional differential equations with state-dependent delay
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this paper we study the existence of mild solutions for a class of first order abstract partial neutral differential equations with state-dependent delay. (C) 2008 Elsevier Ltd. All rights reserved.
Differentiability of the Solutions of a Semilinear Abstract Cauchy Problems With Respect to Parameters
(Universidad Austral, 2004-12)
The Frechet di®erentiability with respect to a parameter q of the solutions z(t; q) of Cauchy problems of the form d/dt z(t) = A(q)z(t) + F(q; t; z(t)) is analyzed. Su±cient conditions on the operator A(q) and on F are ...
On recent developments in the theory of abstract differential equations with fractional derivatives
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
This note is motivated from some recent papers treating the problem of the existence of a solution for abstract differential equations with fractional derivatives. We show that the existence results in [Agarwal et al. ...
El problema de Cauchy asociado a una ecuación del tipo Kuramoto-Sivashisky bidimensional periódica
(2009)
El propósito de este trabajo es abordar la buena colocación en los espacios de Sobolev Hs(T2) para s≥1 del problema de Cauchy asociado a una ecuación del tipo Kuramoto-Sivashisky bidimensional periódica; que modela fenómenos ...
On S-asymptotically omega-periodic functions on Banach spaces and applications
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
This paper is devoted to the study of the class of continuous and bounded functions f : [0, infinity] -> X for which exists omega > 0 such that lim(t ->infinity) (f (t + omega) - f (t)) = 0 (in the sequel called S-asymptotically ...
Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces
(KOBE UNIV, DEPT MATHEMATICS, 2009)
This work is concerned with implicit second order abstract differential equations with nonlocal conditions. Assuming that the involved operators satisfy sonic compactness properties, we establish the existence of local ...
Regularity of solutions for a third order differential equation in Hilbert spaces
(ELSEVIER SCIENCE INC, 2011)
We study regularity of mild and strong solutions of an abstract mathematical model of a flexible space structure under appropriate initial conditions. We apply our results showing qualitative properties of the trajectories ...