Global solutions for abstract impulsive neutral differential equations (original) (raw)
Related papers
The existence of solutions for impulsive neutral functional differential equations
Computers & Mathematics with Applications, 2009
This work deals with the existence of mild solutions for a class of impulsive functional differential equations of the neutral type associated with the family of linear closed (not necessarily bounded) operators {A(t) : t ∈ I}.
Existence of solutions for impulsive partial neutral functional differential equations
Marco Rabelo, Hernán Henriquez
Journal of Mathematical Analysis and Applications, 2007
In this paper we study the existence of global solutions for a class of impulsive abstract partial neutral functional differential equations. An application is provided to illustrate the theory.
Impulsive partial neutral differential equations
Applied Mathematics Letters, 2006
In this work we study the existence and regularity of mild solutions for impulsive first order partial neutral functional differential equations with unbounded delay.
Impulsive neutral functional differential equations with variable times
Nonlinear Analysis: Theory, Methods & Applications, 2003
In this paper, a ÿxed point theorem due to Schaefer is used to investigate the existence of solutions for ÿrst and second order impulsive neutral functional di erential equations with variable times. ?
Discrete Dynamics in Nature and Society, 2009
The existence of mild solutions for second-order impulsive semilinear neutral functional differential equations with nonlocal conditions in Banach spaces is investigated. The results are obtained by using fractional power of operators and Sadovskii's fixed point theorem.
An Existence Result for Impulsive Neutral Functional Differential Equations with Multiple Delay
In this paper an existence result for initial value problems for first order impulsive neutral functional dierential equations with multiple delay is proved under weak conditions.
Applicable Analysis, 2007
In this article, we study the existence of mild solutions for a class of impulsive abstract partial neutral functional differential equations with state-dependent delay. The results are obtained by using Leray-Schauder Alternative fixed point theorem. Example is provided to illustrate the main result.
Bonfring International Journal
Bonfring
This paper is focused on the following nonlinear impulsive neutral differential equation.., Sufficient conditions are obtained for every solution of (*) to tends to a constant as, t → ∞.
2015
An abstract second-order semilinear functional-differential equation such that the linear part of its right-hand side is given by the infinitesimal generator of a strongly continuous cosine family of bounded linear operators, and provided with impulse and nonlocal conditions is studied. Under not too restrictive conditions the existence of a mild solution is proved using Schauder's fixed point theorem.
Journal of Inequalities and Applications, 2005
The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first-and second-order impulsive semilinear functional and neutral functional differential equations in Hilbert spaces.