Geodesic
On the positiveness of the Cauchy function of some integro-differential equation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 122-123 
T. L. Sabatulina. On the positiveness of the Cauchy function of some integro-differential equation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 122-123. http://geodesic.mathdoc.fr/item/VUU_2008_2_a39/
@article{VUU_2008_2_a39,
     author = {T. L. Sabatulina},
     title = {On the positiveness of the {Cauchy} function of some integro-differential equation},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {122--123},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a39/}
}
TY  - JOUR
AU  - T. L. Sabatulina
TI  - On the positiveness of the Cauchy function of some integro-differential equation
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 122
EP  - 123
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a39/
LA  - ru
ID  - VUU_2008_2_a39
ER  - 
%0 Journal Article
%A T. L. Sabatulina
%T On the positiveness of the Cauchy function of some integro-differential equation
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 122-123
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a39/
%G ru
%F VUU_2008_2_a39

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

The paper presents the conditions of the positiveness of the Cauchy function of some integro-differential equation. Asymptotic stability of the equation is studied in terms of these results.

[1] Azbelev N. V., Simonov P. M., Ustoichivost reshenii uravnenii s obyknovennymi proizvodnymi, Izd-vo Perm. un-ta, Perm, 2001

[2] Sabatulina T. L., “On the positiveness of the Cauchy function of integro-differential equations with bounded aftereffect”, Functional differential equation, 3–4 (2008), 273–282 | MR | Zbl