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Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
(PERGAMON-ELSEVIER SCIENCE LTD, 2008)
The paper considers the existence and uniqueness of almost automorphic mild solutions to some classes of first-order partial neutral functional-differential equations. Sufficient conditions for the existence and uniqueness ...
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 ...
Existence and uniqueness of solution for abstract differential equations with state-dependent delayed impulses
(Springer, 2019-03-01)
We study the existence and uniqueness of mild and classical solutions for a general class of abstract impulsive differential equations with state-dependent impulses. Some examples on partial differential equations are presented.
Existence of Solutions for Abstract Non-Autonomous Neutral Differential Equations
(CANADIAN MATHEMATICAL SOCOTTAWA, 2012)
In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.
Global solutions for abstract impulsive neutral differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
We study the existence of mild solutions for a class of impulsive neutral functional differential equation defined on the whole real axis. Some concrete applications to ordinary and partial neutral differential equations ...
Global solutions for abstract neutral differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
We study the existence of global solutions for a class of abstract neutral differential equation defined on the whole real axis. Some concrete applications related to ordinary and partial differential equations are considered. ...
Existence of solutions for second order partial neutral functional differential equations
(BIRKHAUSER VERLAG AG, 2008)
We establish existence of mild solutions for a class of abstract second-order partial neutral functional differential equations with unbounded delay in a Banach space.
Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
(PERGAMON-ELSEVIER SCIENCE LTD, 2008)
Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
(Springer, 2020-02-01)
We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.
On a class of abstract neutral functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
By using the theory of semigroups of growth a, we discuss the existence of mild solutions for a class of abstract neutral functional differential equations. A concrete application to partial neutral functional differential ...