Opuscula Math. 25, no. 2 (2005), 333-343

 
Opuscula Mathematica

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

Tomasz S. Zabawa

Abstract. 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.

Keywords: infinite systems, elliptic differential-functional equations, monotone iterative technique, Chaplygin's method, Dirichlet problem.

Mathematics Subject Classification: 35J45, 35J65, 35R10, 47H07.

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Tomasz S. Zabawa, Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type, Opuscula Math. 25, no. 2 (2005), 333-343

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