Geodesic
Existence and uniqueness of solutions to a super-linear three-point boundary-value problem
Electronic Journal of Differential Equations, Tome 2005 (2005).

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

Summary: In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case.
Classification : 34B10, 34B15
Keywords: super-linear, three-point boundary-value problem 
@article{EJDE_2005__2005__a96,
     author = {Calvert, Bruce and Gupta, Chaitan P.},
     title = {Existence and uniqueness of solutions to a super-linear three-point boundary-value problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a96/}
}
TY  - JOUR
AU  - Calvert, Bruce
AU  - Gupta, Chaitan P.
TI  - Existence and uniqueness of solutions to a super-linear three-point boundary-value problem
JO  - Electronic Journal of Differential Equations
PY  - 2005
VL  - 2005
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a96/
LA  - en
ID  - EJDE_2005__2005__a96
ER  - 
%0 Journal Article
%A Calvert, Bruce
%A Gupta, Chaitan P.
%T Existence and uniqueness of solutions to a super-linear three-point boundary-value problem
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a96/
%G en
%F EJDE_2005__2005__a96
Calvert, Bruce; Gupta, Chaitan P. Existence and uniqueness of solutions to a super-linear three-point boundary-value problem. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a96/