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The integrodifferential system with aftereffect (“heredity” or “prehistory”) dx/dt=Ax+-t R(t,s)x(s,)ds, is considered; here $ε$ is a positive small parameter, $A$ is a constant $n \times n$ matrix, $R (t, s)$ is the kernel of this system exponentially decreasing in norm as $t \to \infty$ . It is proved, if matrix $A$ and kernel $R (t, s)$ satisfy some restrictions and $ε$ does not exceed some bound $ε_{*}$ , then the $n$ -dimensional set of the so-called principal two-sided solutions $\tilde{x} (t, ε)$ approximates in asymptotic sense the infinite-dimensional set of solutions...

Approximate solution of a certain class of nonlinear singular integral equations.

M. H. Saleh, S. M. Amer (1987)

Collectanea Mathematica

Approximate solution of the one-dimensional heat conduction equation by the boundary element method

W. Mydlarczyk (1987)

Applicationes Mathematicae

Approximate solutions for integrodifferential equations of the neutral type

B. G. Pachpatte (2010)

Commentationes Mathematicae Universitatis Carolinae

The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.

Approximation by nonlinear integral operators in some modular function spaces

Carlo Bardaro, Julian Musielak, Gianluca Vinti (1996)

Annales Polonici Mathematici

Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function $f \in {(L ⁰ (G))}_{ϱ + η} \cap D o m T$ is estimated, where $(T f) (s) = \int_{G} K (t - s, f (t)) d t$ and K satisfies a generalized Lipschitz condition with respect to the second variable.

Approximation of abstract linear integrodifferential equations

Hirokazu Oka, Naoki Tanaka (2000)

Studia Mathematica

This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.

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Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.

Application of Rothe's method to evolution integrodifferential equations.

Application of Rothe's method to evolution integrodifferential systems

Application of singular integral equations in the boundary value problems of electroelasticity.

Application of some existence theorems for the solutions of Hammerstein integral equations

Application of the averaging method for a two-point boundary problem for systems of integro-differential equations of Fredholm type.

Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type.

Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups [Book]

Approssimazione delle soluzioni del primo problema dei valori al contorno per equazioni paraboliche

Approximate methods for linear integral equations of the first kind

Approximate properties of principal solutions of Volterra-type integrodifferential equations with infinite aftereffect

Approximate solution of a certain class of nonlinear singular integral equations.

Approximate solution of the one-dimensional heat conduction equation by the boundary element method

Approximate solutions for integrodifferential equations of the neutral type

Approximation by nonlinear integral operators in some modular function spaces

Approximation of abstract linear integrodifferential equations

Approximation of Infinite Delay and Volterra Type Equations.

Approximations of solutions to retarded integrodifferential equations.

Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme.

Associated transforms for solution of nonlinear equations.

Currently displaying 181 – 200 of 1716