Geodesic
Dirichlet Problem for Second-Order Ordinary Differential Equations with Segment-Order Derivative
Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 620-628

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

The fundamental solution of a second-order ordinary differential equation with segment-order derivative is constructed. The Green function of the Dirichlet problem is determined on the basis the fundamental solution and the solution of the Dirichlet problem for the equation under study is obtained under the solvability condition.
Keywords: second-order ordinary differential equation, Dirichlet problem, segment-order derivative, Green function, fundamental solution, Euler gamma function. 
@article{MZM_2015_97_4_a11,
     author = {B. I. Efendiev},
     title = {Dirichlet {Problem} for {Second-Order} {Ordinary} {Differential} {Equations} with {Segment-Order} {Derivative}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {620--628},
     publisher = {mathdoc},
     volume = {97},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a11/}
}
TY  - JOUR
AU  - B. I. Efendiev
TI  - Dirichlet Problem for Second-Order Ordinary Differential Equations with Segment-Order Derivative
JO  - Matematičeskie zametki
PY  - 2015
SP  - 620
EP  - 628
VL  - 97
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a11/
LA  - ru
ID  - MZM_2015_97_4_a11
ER  - 
%0 Journal Article
%A B. I. Efendiev
%T Dirichlet Problem for Second-Order Ordinary Differential Equations with Segment-Order Derivative
%J Matematičeskie zametki
%D 2015
%P 620-628
%V 97
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a11/
%G ru
%F MZM_2015_97_4_a11
B. I. Efendiev. Dirichlet Problem for Second-Order Ordinary Differential Equations with Segment-Order Derivative. Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 620-628. http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a11/