Geodesic
Generalized Cauchy problems for hyperbolic functional differential systems
Elżbieta Puźniakowska-Gałuch1
1 Institute of Mathematics University of Gdańsk Wit Stwosz Street 57 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 33-53

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

A generalized Cauchy problem for hyperbolic functional differential systems is considered. The initial problem is transformed into a system of functional integral equations. The existence of solutions of this system is proved by using the method of successive approximations. Differentiability of solutions with respect to initial functions is proved. It is important that functional differential systems considered in this paper do not satisfy the Volterra condition.
DOI : 10.4064/ap110-1-4
Keywords: generalized cauchy problem hyperbolic functional differential systems considered initial problem transformed system functional integral equations existence solutions system proved using method successive approximations differentiability solutions respect initial functions proved important functional differential systems considered paper satisfy volterra condition

Elżbieta Puźniakowska-Gałuch 1

1 Institute of Mathematics University of Gdańsk Wit Stwosz Street 57 80-952 Gdańsk, Poland 
@article{10_4064_ap110_1_4,
     author = {El\.zbieta Pu\'zniakowska-Ga{\l}uch},
     title = {Generalized {Cauchy} problems for
 hyperbolic functional differential systems},
     journal = {Annales Polonici Mathematici},
     pages = {33--53},
     publisher = {mathdoc},
     volume = {110},
     number = {1},
     year = {2014},
     doi = {10.4064/ap110-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap110-1-4/}
}
TY  - JOUR
AU  - Elżbieta Puźniakowska-Gałuch
TI  - Generalized Cauchy problems for
 hyperbolic functional differential systems
JO  - Annales Polonici Mathematici
PY  - 2014
SP  - 33
EP  - 53
VL  - 110
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap110-1-4/
DO  - 10.4064/ap110-1-4
LA  - en
ID  - 10_4064_ap110_1_4
ER  - 
%0 Journal Article
%A Elżbieta Puźniakowska-Gałuch
%T Generalized Cauchy problems for
 hyperbolic functional differential systems
%J Annales Polonici Mathematici
%D 2014
%P 33-53
%V 110
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap110-1-4/
%R 10.4064/ap110-1-4
%G en
%F 10_4064_ap110_1_4
Elżbieta Puźniakowska-Gałuch. Generalized Cauchy problems for
 hyperbolic functional differential systems. Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 33-53. doi: 10.4064/ap110-1-4

Cité par Sources :