Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type

Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type

The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and upper functions.

Bibliographic Details
Main Author: Tomasz S. Zabawa
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2005-01-01
Series:Opuscula Mathematica
Subjects:
infinite systems
elliptic differential-functional equations
monotone iterative technique
Chaplygin's method
Dirichlet problem
Online Access:http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2524.pdf
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spelling doaj-05f55c272eeb46f1a055231857c9348d2020-11-24T23:43:24ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742005-01-012523333432524Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic typeTomasz S. Zabawa0AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, PolandThe Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and upper functions.http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2524.pdfinfinite systemselliptic differential-functional equationsmonotone iterative techniqueChaplygin's methodDirichlet problem
collection DOAJ
language English
format Article
sources DOAJ
author Tomasz S. Zabawa
spellingShingle Tomasz S. Zabawa
Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
Opuscula Mathematica
infinite systems
elliptic differential-functional equations
monotone iterative technique
Chaplygin's method
Dirichlet problem
author_facet Tomasz S. Zabawa
author_sort Tomasz S. Zabawa
title Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
title_short Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
title_full Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
title_fullStr Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
title_full_unstemmed Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
title_sort existence of solutions of the dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2005-01-01
description The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and upper functions.
topic infinite systems
elliptic differential-functional equations
monotone iterative technique
Chaplygin's method
Dirichlet problem
url http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2524.pdf
work_keys_str_mv AT tomaszszabawa existenceofsolutionsofthedirichletproblemforaninfinitesystemofnonlineardifferentialfunctionalequationsofelliptictype
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