Results 11 to 20 of about 44 (44)

Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations

Nonautonomous Dynamical Systems, 2022
In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai, Ezzinbi Khalil, Kriche Mohammed   +2 more
doaj   +1 more source

Delay-Dependent Stability Conditions for Non-autonomous Functional Differential Equations with Several Delays in a Banach Space

Nonautonomous Dynamical Systems, 2021
Let Bj(t) (j = 1,..., m) and B(t, τ) (t ≥ 0, 0 ≤ τ ≤ 1) be bounded variable operators in a Banach space. We consider the equation u′(t)=∑k=1mBk(t)u(t-hk(t))+∫01B(t,τ)u(t-h0(τ))dτ    (t≥0),u'\left( t \right) = \sum\limits_{k = 1}^m {{B_k}\left( t \right)u\
Gil’ Michael
doaj   +1 more source

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S., Baleanu D., Suganya S., Mallika Arjunan M.   +3 more
doaj   +1 more source

On an abstract nonlinear second order integrodifferential equation

Journal of Function Spaces, Volume 5, Issue 2, Page 167-174, 2007., 2007
The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray‐Schauder alternative and rely on a priori bounds of solutions.
M. B. Dhakne, G. B. Lamb, Nigel Kalton
wiley   +1 more source

Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions

Open Mathematics, 2018
This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
doaj   +1 more source

Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1943-1956, 2004., 2004
This paper deals with the applications of the method of semidiscretization in time to a nonlinear retarded differential equation with a nonlocal history condition. We establish the existence and uniqueness of a strong solution. Finally, we consider some applications of the abstract results.
S. Agarwal, D. Bahuguna
wiley   +1 more source

Periodic solutions for some partial functional differential equations

International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 9-18, 2004., 2004
We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille‐Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution.
Rachid Benkhalti, Khalil Ezzinbi
wiley   +1 more source

Existence of solutions for delay evolution equations with nonlocal conditions

Open Mathematics, 2017
In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
doaj   +1 more source

Second‐order neutral stochastic evolution equations with heredity

International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 177-192, 2004., 2004
Existence, continuous dependence, and approximation results are established for a class of abstract second‐order neutral stochastic evolution equations with heredity in a real separable Hilbert space. A related integro‐differential equation is also mentioned, as well as an example illustrating the theory.
Mark A. McKibben
wiley   +1 more source

Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations

International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004
In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
wiley   +1 more source