Geodesic
Infinite systems of first order PFDEs with mixed conditions
W. Czernous1
1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 94 (2008) no. 3, pp. 209-230.

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

We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems can be derived from the general model by specializing the operators.
DOI : 10.4064/ap94-3-2
Keywords: consider mixed problems infinite systems first order partial functional differential equations infinite number deviating functions permitted delay argument may depend spatial variable theorem existence solution its continuous dependence initial boundary proved method successive approximations existence proof infinite differential systems deviated arguments differential integral systems derived general model specializing operators

W. Czernous 1

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
@article{10_4064_ap94_3_2,
     author = {W. Czernous},
     title = {Infinite systems of first order {PFDEs} with mixed conditions},
     journal = {Annales Polonici Mathematici},
     pages = {209--230},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {2008},
     doi = {10.4064/ap94-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap94-3-2/}
}
TY  - JOUR
AU  - W. Czernous
TI  - Infinite systems of first order PFDEs with mixed conditions
JO  - Annales Polonici Mathematici
PY  - 2008
SP  - 209
EP  - 230
VL  - 94
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap94-3-2/
DO  - 10.4064/ap94-3-2
LA  - en
ID  - 10_4064_ap94_3_2
ER  - 
%0 Journal Article
%A W. Czernous
%T Infinite systems of first order PFDEs with mixed conditions
%J Annales Polonici Mathematici
%D 2008
%P 209-230
%V 94
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap94-3-2/
%R 10.4064/ap94-3-2
%G en
%F 10_4064_ap94_3_2
W. Czernous. Infinite systems of first order PFDEs with mixed conditions. Annales Polonici Mathematici, Tome 94 (2008) no. 3, pp. 209-230. doi : 10.4064/ap94-3-2. http://geodesic.mathdoc.fr/articles/10.4064/ap94-3-2/

Cité par Sources :