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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