Geodesic
Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
Agnieszka Bartłomiejczyk1 ; Henryk Leszczyński2
1 Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 309-326.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap111-3-7
Keywords: consider cauchy problem nonlinear parabolic equations functional dependence prove schauder type existence results unbounded solutions prove existence maximal solutions wide class differential functional equations

Agnieszka Bartłomiejczyk 1 ; Henryk Leszczyński 2

1 Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
@article{10_4064_ap111_3_7,
     author = {Agnieszka Bart{\l}omiejczyk and Henryk Leszczy\'nski},
     title = {Existence of solutions with exponential growth
 for nonlinear differential-functional parabolic equations},
     journal = {Annales Polonici Mathematici},
     pages = {309--326},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {2014},
     doi = {10.4064/ap111-3-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap111-3-7/}
}
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
SP  - 309
EP  - 326
VL  - 111
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap111-3-7/
DO  - 10.4064/ap111-3-7
LA  - en
ID  - 10_4064_ap111_3_7
ER  - 
%0 Journal Article
%A Agnieszka Bartłomiejczyk
%A Henryk Leszczyński
%T Existence of solutions with exponential growth
 for nonlinear differential-functional parabolic equations
%J Annales Polonici Mathematici
%D 2014
%P 309-326
%V 111
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap111-3-7/
%R 10.4064/ap111-3-7
%G en
%F 10_4064_ap111_3_7
Agnieszka Bartłomiejczyk; Henryk Leszczyński. Existence of solutions with exponential growth
 for nonlinear differential-functional parabolic equations. Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 309-326. doi : 10.4064/ap111-3-7. http://geodesic.mathdoc.fr/articles/10.4064/ap111-3-7/

Cité par Sources :