The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions

The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions

This paper is devoted to prove, in a nonclassical function space, the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given prob...

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Veröffentlicht in:International Journal of Stochastic Analysis 2010, Vol.2010, p.100-115
Hauptverfasser: Bouziani, Abdelfatah, Mechri, Rachid
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Hilbert space
Mathematical functions
Studies
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Mechri, Rachid
description This paper is devoted to prove, in a nonclassical function space, the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given problem with respect to the time variable.
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subjects Hilbert space
Mathematical functions
Studies
title The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions
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