Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations

Stanisław Brzychczy. "Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations." Annales Polonici Mathematici 77.1 (2001): 1-9. <http://eudml.org/doc/280521>.

@article{StanisławBrzychczy2001,
abstract = {We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.},
author = {Stanisław Brzychczy},
journal = {Annales Polonici Mathematici},
keywords = {Banach fixed point theorem; existence; uniqueness},
language = {eng},
number = {1},
pages = {1-9},
title = {Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations},
url = {http://eudml.org/doc/280521},
volume = {77},
year = {2001},
}

TY - JOUR
AU - Stanisław Brzychczy
TI - Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 1
SP - 1
EP - 9
AB - We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.
LA - eng
KW - Banach fixed point theorem; existence; uniqueness
UR - http://eudml.org/doc/280521
ER -