Results 21 to 30 of about 230 (58)

The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam

Nonautonomous Dynamical Systems, 2023
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R., Tunç Cemil, Şengun Merve, Tunç Osman   +3 more
doaj   +1 more source

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

Global solutions for abstract functional differential equations with nonlocal conditions [PDF]

, 2009
In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions.
Hernandez, E., TanakaAki, SueliM.
core   +5 more sources

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

Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]

, 2014
In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev, AN Kochubei, B Baeumer, BNN Achar, Bruno Toaldo, CF Lorenzo, D Benson, E Montroll, E Orsingher, EH Lieb, F Mainardi, G Samorodnitsky, G Samorodnitsky, G Zaslavsky, J Bertoin, J Bertoin, J Rosiński, K Itô, M D’Ovidio, M Veillette, MM Meerschaert, MM Meerschaert, MM Meerschaert, MM Meerschaert, orsptrfE Orsingher, RS Phillips, S Bernstein, S Bochner, S Bochner, W Feller   +29 more
core   +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

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

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

A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]

, 2014
We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana, Precup, Radu, Rubbioni, Paola   +2 more
core   +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