Gen-qiang Wang, Sui Sun Cheng ASYMPTOTIC STABILITY OF A NEUTRAL INTEGRO-DIFFERENTIAL EQUATION

Nonnegative Periodic Solutions for an Integral Equation Modeling Infectious Disease with Latency Periods

Asymptotic Stability of Fractional Impulsive Neutral Stochastic Partial Integro-differential Equations with State-dependent Delay

In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Optimal order finite element approximation for a hyperbolic‎ ‎integro-differential equation

‎Semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. The model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎Stability estimates are obtained for a slightly more general problem.‎ ‎These, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

Fixed Points and Stability in Nonlinear Neutral Volterra Integro-differential Equations with Variable Delays

Abstract. In this paper we use the contraction mapping theorem to obtain asymptotic stability results of the zero solution of a nonlinear neutral Volterra integro-differential equation with variable delays. Some conditions which allow the coefficient functions to change sign and do not ask the boundedness of delays are given. An asymptotic stability theorem with a necessary and sufficient condi...