TY  - JOUR
ID  - Zabawa2005
LB  - Zabawa2005
AU  - Zabawa, Tomasz S.
TI  - Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
ST  - Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 333
EP  - 343
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.333
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.333
AB  - 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.
KW  - infinite systems
KW  - elliptic differential-functional equations
KW  - monotone iterative technique
KW  - Chaplygin's method
KW  - Dirichlet problem
SN  - 1232-9274
ER  -