Monotone iteration for infinite systems of parabolic equations

In the paper the Cauchy problem for an infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequal...

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Main Author:	Anna Pudełko
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2005-01-01
Series:	Opuscula Mathematica
Subjects:	infinite systems parabolic equations Cauchy problem monotone iteration method differential inequality
Online Access:	http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2521.pdf

id	doaj-8426273d27d64d1c8e18ebadbc2d82a4
record_format	Article
spelling	doaj-8426273d27d64d1c8e18ebadbc2d82a42020-11-24T20:55:11ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742005-01-012523073182521Monotone iteration for infinite systems of parabolic equationsAnna Pudełko0AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, PolandIn the paper the Cauchy problem for an infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequality as well as the existence and uniqueness theorem in the class of continuous-bounded functions obtained by monotone iterative method.http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2521.pdfinfinite systemsparabolic equationsCauchy problemmonotone iteration methoddifferential inequality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Anna Pudełko
spellingShingle	Anna Pudełko Monotone iteration for infinite systems of parabolic equations Opuscula Mathematica infinite systems parabolic equations Cauchy problem monotone iteration method differential inequality
author_facet	Anna Pudełko
author_sort	Anna Pudełko
title	Monotone iteration for infinite systems of parabolic equations
title_short	Monotone iteration for infinite systems of parabolic equations
title_full	Monotone iteration for infinite systems of parabolic equations
title_fullStr	Monotone iteration for infinite systems of parabolic equations
title_full_unstemmed	Monotone iteration for infinite systems of parabolic equations
title_sort	monotone iteration for infinite systems of parabolic equations
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2005-01-01
description	In the paper the Cauchy problem for an infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequality as well as the existence and uniqueness theorem in the class of continuous-bounded functions obtained by monotone iterative method.
topic	infinite systems parabolic equations Cauchy problem monotone iteration method differential inequality
url	http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2521.pdf
work_keys_str_mv	AT annapudełko monotoneiterationforinfinitesystemsofparabolicequations
_version_	1716792256699039744

Monotone iteration for infinite systems of parabolic equations

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