Geodesic
On positiveness of the Cauchy function of a~singular linear functional differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 16-23

Voir la notice de l'article provenant de la source Math-Net.Ru

We study first-order functional differential equations which are singular in the independent variable, establish criteria for the constant sign property of the Cauchy function, and prove an assertion analogous to the Vallée-Poussin theorem.
Keywords: functional differential equations, Cauchy function.
Mots-clés : singular equations 
@article{IVM_2013_10_a1,
     author = {I. M. Plaksina},
     title = {On positiveness of the {Cauchy} function of a~singular linear functional differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--23},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a1/}
}
TY  - JOUR
AU  - I. M. Plaksina
TI  - On positiveness of the Cauchy function of a~singular linear functional differential equation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 16
EP  - 23
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_10_a1/
LA  - ru
ID  - IVM_2013_10_a1
ER  - 
%0 Journal Article
%A I. M. Plaksina
%T On positiveness of the Cauchy function of a~singular linear functional differential equation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 16-23
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_10_a1/
%G ru
%F IVM_2013_10_a1
I. M. Plaksina. On positiveness of the Cauchy function of a~singular linear functional differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 16-23. http://geodesic.mathdoc.fr/item/IVM_2013_10_a1/