Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations

Agnieszka Bartłomiejczyk, and Henryk Leszczyński. "Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations." Annales Polonici Mathematici 111.3 (2014): 309-326. <http://eudml.org/doc/280826>.

@article{AgnieszkaBartłomiejczyk2014,
abstract = {We consider the Cauchy problem for nonlinear parabolic equations with functional dependence. We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.},
author = {Agnieszka Bartłomiejczyk, Henryk Leszczyński},
journal = {Annales Polonici Mathematici},
keywords = {parabolic differential-functional equations; Cauchy problem; maximal solutions},
language = {eng},
number = {3},
pages = {309-326},
title = {Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations},
url = {http://eudml.org/doc/280826},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Agnieszka Bartłomiejczyk
AU - Henryk Leszczyński
TI - Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 3
SP - 309
EP - 326
AB - We consider the Cauchy problem for nonlinear parabolic equations with functional dependence. We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.
LA - eng
KW - parabolic differential-functional equations; Cauchy problem; maximal solutions
UR - http://eudml.org/doc/280826
ER -