Geodesic
Positive solutions for systems of generalized three-point nonlinear boundary value problems
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 79-91

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Values of $\lambda$ are determined for which there exist positive solutions of the system of three-point boundary value problems, $u''+\lambda a(t) f(v) = 0$, $v''+\lambda b(t) g(u) = 0$, for $0 t 1$, and satisfying, $u(0) = \beta u(\eta)$, $u(1)=\alpha u(\eta)$, $v(0) = \beta v(\eta)$, $v(1) = \alpha v(\eta)$. A Guo-Krasnosel'skii fixed point theorem is applied.
Classification : 34A34, 34B10, 34B18
Keywords: generalized three-point boundary value problem; system of differential equations; eigenvalue problem 
@article{CMUC_2008__49_1_a7,
     author = {Henderson, J. and Ntouyas, S. K. and Purnaras, I. K.},
     title = {Positive solutions for systems of generalized three-point nonlinear boundary value problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {79--91},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2008},
     mrnumber = {2433626},
     zbl = {1212.34058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a7/}
}
TY  - JOUR
AU  - Henderson, J.
AU  - Ntouyas, S. K.
AU  - Purnaras, I. K.
TI  - Positive solutions for systems of generalized three-point nonlinear boundary value problems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2008
SP  - 79
EP  - 91
VL  - 49
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a7/
LA  - en
ID  - CMUC_2008__49_1_a7
ER  - 
%0 Journal Article
%A Henderson, J.
%A Ntouyas, S. K.
%A Purnaras, I. K.
%T Positive solutions for systems of generalized three-point nonlinear boundary value problems
%J Commentationes Mathematicae Universitatis Carolinae
%D 2008
%P 79-91
%V 49
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a7/
%G en
%F CMUC_2008__49_1_a7
Henderson, J.; Ntouyas, S. K.; Purnaras, I. K. Positive solutions for systems of generalized three-point nonlinear boundary value problems. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 79-91. http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a7/