TY  - JOUR
ID  - Pudełko2005
LB  - Pudełko2005
AU  - Pudełko, Anna
TI  - Monotone iteration for infinite systems of parabolic equations
ST  - Monotone iteration for infinite systems of parabolic equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 307
EP  - 318
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.307
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.307
AB  - In the paper the Cauchy problem for an infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequality as well as the existence and uniqueness theorem in the class of continuous-bounded functions obtained by monotone iterative method.
KW  - infinite systems
KW  - parabolic equations
KW  - Cauchy problem
KW  - monotone iteration method
KW  - differential inequality
SN  - 1232-9274
ER  -