Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type

Milena Matusik

Annales Polonici Mathematici (2012)

  • Volume: 105, Issue: 3, page 253-265
  • ISSN: 0066-2216

Abstract

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The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.

How to cite

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Milena Matusik. "Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type." Annales Polonici Mathematici 105.3 (2012): 253-265. <http://eudml.org/doc/281082>.

@article{MilenaMatusik2012,
abstract = {The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.},
author = {Milena Matusik},
journal = {Annales Polonici Mathematici},
keywords = {functional differential equations; initial boundary value problems; classical solutions; differential equations with deviated variables; differential integral problems},
language = {eng},
number = {3},
pages = {253-265},
title = {Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type},
url = {http://eudml.org/doc/281082},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Milena Matusik
TI - Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 3
SP - 253
EP - 265
AB - The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.
LA - eng
KW - functional differential equations; initial boundary value problems; classical solutions; differential equations with deviated variables; differential integral problems
UR - http://eudml.org/doc/281082
ER -

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