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On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2014)
On a new class of abstract integral equations and applications
(ELSEVIER SCIENCE INCNEW YORK, 2012)
In this paper we introduce a new class of abstract integral equations which enables us to study in a unified manner several different types of differential equations. (C) 2012 Elsevier Inc. All rights reserved.
Pseudo-almost periodic solutions for abstract partial functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense ...
EXISTENCE OF PERIODIC SOLUTIONS OF NEUTRAL FUNCTION AL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2000)
Existence results for abstract impulsive second-order neutral functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
We establish the existence of mild solutions for a class of impulsive second-order partial neutral functional differential equations with infinite delay in a Banach space. (C) 2009 Published by Elsevier Ltd
DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)
Existence Results for Abstract Partial Neutral Integro-differential Equation with Unbounded Delay
(UNIV SZEGED, BOLYAI INSTITUTE, 2009)
In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.
Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
(Springer, 2016-08-01)
In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence ...
Stability theory
(2021-01-01)
This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in ...