Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type

A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered. It is shown that the solutions of the parabolic problem is asymptotically stable and the limit of the solution...

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Bibliographic Details
Main Author: Tomasz S. Zabawa
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2006-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol26/1/art/opuscula_math_2613.pdf