DOI: 10.7494/opmath.2005.25.2.333 ISSN: 1232-9274

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

Tomasz S. Zabawa

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.

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