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ArticleOriginal scientific text

Title

Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations

Authors 1

Affiliations

  1. Department of Applied Mathematics, University of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Kraków, Poland

Abstract

We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.

Keywords

ENG
method of lower and upper functions, infinite systems of parabolic differential-functional equations, monotone iterative method

Bibliography

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Annales Polonici Mathematici
1999/72/1
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Pages:
15-24
Main language of publication
English
Received
1997-12-14
Accepted
1999-02-04
Published
1999
Exact and natural sciences