Existence of solutions for infinite systems of parabolic equations with functional dependence

Anna Pudełko. "Existence of solutions for infinite systems of parabolic equations with functional dependence." Annales Polonici Mathematici 86.2 (2005): 123-135. <http://eudml.org/doc/280176>.

@article{AnnaPudełko2005,
abstract = {The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method.},
author = {Anna Pudełko},
journal = {Annales Polonici Mathematici},
keywords = {parabolic differential-functional equations; Cauchy problem; Banach fixed point theorem},
language = {eng},
number = {2},
pages = {123-135},
title = {Existence of solutions for infinite systems of parabolic equations with functional dependence},
url = {http://eudml.org/doc/280176},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Anna Pudełko
TI - Existence of solutions for infinite systems of parabolic equations with functional dependence
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 2
SP - 123
EP - 135
AB - The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method.
LA - eng
KW - parabolic differential-functional equations; Cauchy problem; Banach fixed point theorem
UR - http://eudml.org/doc/280176
ER -