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

Zabawa T.S.

Opuscula Mathematica

2005

Vol. 25, no. 2

333-343

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 uper functions.