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

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.
Full text (pdf)
About the authors ▼
Tomasz S. Zabawa
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland
About the article ▼
Received: 2004-10-18.
Cite this article as ▼
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, http://dx.doi.org/10.7494/OpMath.2005.25.2.333.
Download this article's citation as: