Monotone iteration for infinite systems of parabolic equations with functional dependence

Anna Pudełko. "Monotone iteration for infinite systems of parabolic equations with functional dependence." Annales Polonici Mathematici 90.1 (2007): 1-19. <http://eudml.org/doc/280707>.

@article{AnnaPudełko2007,
abstract = {We consider the initial value problem for an infinite system of differential-functional equations of parabolic type. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. The solutions are obtained by the monotone iterative method. We prove theorems on weak partial differential-functional inequalities as well the existence and uniqueness theorems in the class of continuous bounded functions and in the class of functions satisfying a certain growth condition.},
author = {Anna Pudełko},
journal = {Annales Polonici Mathematici},
keywords = {parabolic functional-differential equation; Cauchy problem; monotone iterative method; differential inequality},
language = {eng},
number = {1},
pages = {1-19},
title = {Monotone iteration for infinite systems of parabolic equations with functional dependence},
url = {http://eudml.org/doc/280707},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Anna Pudełko
TI - Monotone iteration for infinite systems of parabolic equations with functional dependence
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 1
SP - 1
EP - 19
AB - We consider the initial value problem for an infinite system of differential-functional equations of parabolic type. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. The solutions are obtained by the monotone iterative method. We prove theorems on weak partial differential-functional inequalities as well the existence and uniqueness theorems in the class of continuous bounded functions and in the class of functions satisfying a certain growth condition.
LA - eng
KW - parabolic functional-differential equation; Cauchy problem; monotone iterative method; differential inequality
UR - http://eudml.org/doc/280707
ER -