Results 11 to 20 of about 23,117 (284)

On linear Volterra difference equations with infinite delay [PDF]

Advances in Difference Equations, 2006
Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established.
Philos Ch G, Purnaras IK
doaj   +6 more sources

Semilinear functional difference equations with infinite delay

Mathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ravi P Agarwal, Claudio Cuevas, MIGUEL V S Frasson   +2 more
exaly   +2 more sources

Periodic Solutions of Infinite Delay Evolution Equations

Journal of Mathematical Analysis and Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, James H.
openaire   +3 more sources

Equations with infinite delay: Blending the abstract and the concrete

Journal of Differential Equations, 2012
In the case of infinite delay, the authors prove the principle of linearized stability for nonlinear renewal equations \(x(t)=F(x_t),\,\,t>0\), for delay-differential equations \(\dot y(t)=F(y_t),\,\,t>0\), and for coupled systems of these two types of equations \(x(t)=F_1(x_t,y_t),\,\,\dot y(t)=F_2(x_t,y_t),\,\,t>0\), where \(x_t\) and \(y_t\) denote ...
Diekmann, O., Gyllenberg, M.
openaire   +3 more sources

Multivalued evolution equations with infinite delay in Fréchet spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay ...
Selma BAGHLI-BENDIMERAD, Mouffak Benchohra   +1 more
doaj   +2 more sources

Impulsive fractional differential inclusions with infinite delay

Electronic Journal of Differential Equations, 2013
In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.
Khalida Aissani, Mouffak Benchohra
doaj   +1 more source

Uniform Asymptotic Stability in Infinite Delay Systems

Journal of Mathematical Analysis and Applications, 1993
Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\).
Hering, Roger H., Hering, R.H.
openaire   +3 more sources

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay [PDF]

Journal of Applied Mathematics, 2012
Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s ...
Fang Li, Ti-Jun Xiao, Hong-Kun Xu
doaj   +4 more sources

Permanence of predator-prey system with infinite delay

Electronic Journal of Differential Equations, 2004
In this paper we consider a predator-prey system with periodic coefficients and infinite delay, in which the prey has a history that takes them through two stages, immature and mature.
Jingan Cui, Yonghong Sun
doaj   +2 more sources

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

Mathematics, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib, Abdelkrim Salim, Saïd Abbas, Mouffak Benchohra   +3 more
doaj   +1 more source