Geodesic
Existence and uniqueness for a two-point interface boundary value problem
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We obtain sufficient conditions, easily verifiable, for the existence and uniqueness of piecewise smooth solutions of a linear two-point boundary-value problem with general interface conditions. The coefficients of the differential equation may have jump discontinuities at the interface point. As an example, the conditions obtained are applied to a problem with typical interface such as perfect contact, non-perfect contact, and flux jump conditions.
Classification : 34B05, 34B10
Keywords: interface conditions, transmission conditions, two-point boundary value problem, discontinuous coefficients, existence and uniqueness 
@article{EJDE_2013__2013__a98,
     author = {Aitbayev, Rakhim},
     title = {Existence and uniqueness for a two-point interface boundary value problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a98/}
}
TY  - JOUR
AU  - Aitbayev, Rakhim
TI  - Existence and uniqueness for a two-point interface boundary value problem
JO  - Electronic Journal of Differential Equations
PY  - 2013
VL  - 2013
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a98/
LA  - en
ID  - EJDE_2013__2013__a98
ER  - 
%0 Journal Article
%A Aitbayev, Rakhim
%T Existence and uniqueness for a two-point interface boundary value problem
%J Electronic Journal of Differential Equations
%D 2013
%V 2013
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a98/
%G en
%F EJDE_2013__2013__a98
Aitbayev, Rakhim. Existence and uniqueness for a two-point interface boundary value problem. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a98/