A Construction of Monotonically Convergent Sequences from Successive Approximations in Certain Banach Spaces.
A linear functional differential equation with distributions in the input.
A shooting method for singular nonlinear second order Volterra integro-differential equations.
A singular perturbation problem in integrodifferential equations.
A weak invariance principle and asymptotic stability for evolution equations with bounded generators.
Abstract nonlinear Volterra integrodifferential equations with nonsmooth kernels
A Cauchy problem for an abstract nonlinear Volterra integrodifferential equation is considered. Existence and uniqueness results are shown for any given time interval under weak time regularity assumptions on the kernel. Some applications to the heat flow with memory are presented.
Age of infection in epidemiology models.
Algebraic representation of the Nakajima-Zvanzig's generalized master equation
An abstract inverse problem.
An algebraic derivative associated to the operator
In this paper we get an algebraic derivative relative to the convolution associated to the operator , which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation
An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder.
An effective method for solving fractional integro-differential equations.
An improved exponential decay result for some semilinear integrodifferential equations
We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.
An integral equation associated with linear homogeneous differential equations.
An oscillation criterion for inhomogeneous Stieltjes integro-differential equations.
Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays
The objective of this work is the application of Krasnosel'skii's fixed point technique to prove the existence of periodic solutions of a system of coupled nonlinear integro-differential equations with variable delays. An example is given to illustrate this work.
Analytic solution to a class of integro-differential equations.
Angenäherte Lösung eines Systems von Integro-Differentialgleichungen mittels der Methode von S. A. Tschaplygin
Application of a trapezoid inequality to neutral Fredholm integro-differential equations in Banach spaces.
Application of Lakshmikantham's monotone-iterative technique to the solution of the initial value problem for impulsive integro-differential equations.