Iterative methods for parabolic functional differential equations

Milena Matusik. "Iterative methods for parabolic functional differential equations." Applicationes Mathematicae 40.2 (2013): 221-235. <http://eudml.org/doc/280078>.

@article{MilenaMatusik2013,
abstract = {This paper is concerned with iterative methods for parabolic functional differential equations with initial boundary conditions. Monotone iterative methods are discussed. We prove a theorem on the existence of solutions for a parabolic problem whose right-hand side admits a Jordan type decomposition with respect to the function variable. It is shown that there exist Newton sequences which converge to the solution of the initial problem. Differential equations with deviated variables and differential integral equations can be obtained from our general model by specializing given operators.},
author = {Milena Matusik},
journal = {Applicationes Mathematicae},
keywords = {monotone iterative technique; parabolic functional differential equations},
language = {eng},
number = {2},
pages = {221-235},
title = {Iterative methods for parabolic functional differential equations},
url = {http://eudml.org/doc/280078},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Milena Matusik
TI - Iterative methods for parabolic functional differential equations
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 2
SP - 221
EP - 235
AB - This paper is concerned with iterative methods for parabolic functional differential equations with initial boundary conditions. Monotone iterative methods are discussed. We prove a theorem on the existence of solutions for a parabolic problem whose right-hand side admits a Jordan type decomposition with respect to the function variable. It is shown that there exist Newton sequences which converge to the solution of the initial problem. Differential equations with deviated variables and differential integral equations can be obtained from our general model by specializing given operators.
LA - eng
KW - monotone iterative technique; parabolic functional differential equations
UR - http://eudml.org/doc/280078
ER -