Geodesic
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
Electronic journal of differential equations, Tome 2011 (2011)
This article concerns the existence and asymptotic behavior of solutions to a singularly perturbed second-order four-point boundary-value problem for nonlinear differential equations. Our analysis relies on the method of lower and upper solutions. We give accurate approximations of the solutions up to order $O(\epsilon)$.
Classification : 34K10, 34K26
Keywords: singular perturbation, four point boundary value problem, lower and upper solutions 
@article{EJDE_2011__2011__a69,
     author = {Vrabel,  Robert},
     title = {A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1211.34019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/}
}
TY  - JOUR
AU  - Vrabel,  Robert
TI  - A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/
LA  - en
ID  - EJDE_2011__2011__a69
ER  - 
%0 Journal Article
%A Vrabel,  Robert
%T A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/
%G en
%F EJDE_2011__2011__a69
Vrabel,  Robert. A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a69/