Geodesic
Fredholm property of a boundary problem for differential equation of special form
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 5-11

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

This article concerns the second-order differential equation with the zero coefficient of the first derivative and with the coefficient of a special type of the unknown function. Certain conditions are indicated on which the solution of the given equation exists and is unique across the interval of the real line, when the right-hand member is whatever and continuous, and the values of the unknown function are arbitrary and given.
Keywords: second-order differential equation, boundary value problem, Fredholm alternative. 
@article{VCHGU_2010_12_a0,
     author = {D. O. Degtyarev and S. V. Repjevskij},
     title = {Fredholm property of a boundary problem for differential equation of special form},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {5--11},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a0/}
}
TY  - JOUR
AU  - D. O. Degtyarev
AU  - S. V. Repjevskij
TI  - Fredholm property of a boundary problem for differential equation of special form
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2010
SP  - 5
EP  - 11
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a0/
LA  - ru
ID  - VCHGU_2010_12_a0
ER  - 
%0 Journal Article
%A D. O. Degtyarev
%A S. V. Repjevskij
%T Fredholm property of a boundary problem for differential equation of special form
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2010
%P 5-11
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a0/
%G ru
%F VCHGU_2010_12_a0
D. O. Degtyarev; S. V. Repjevskij. Fredholm property of a boundary problem for differential equation of special form. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 5-11. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a0/