Geodesic
Positive solutions for semipositone fourth-order two-point boundary value problems
Electronic Journal of Differential Equations, Tome 2007 (2007).

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

Summary: In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative: $$\displaylines{ u^{(4)}(t) = f(t, u(t), u''(t)), \quad 0 \leq t \leq 1, \cr u'(1) = u''(1) = u'''(1) = 0, \quad k u(0) = u'''(0), }$$ where $-6 k 0, f \geq - M$, and $M$ is a positive constant. Our approach relies on the Krasnosel'skii fixed point theorem.
Classification : 34B16
Keywords: boundary value problem, positive solution, semipositone, fixed point 
@article{EJDE_2007__2007__a83,
     author = {Yang, Dandan and Zhu, Hongbo and Bai, Chuanzhi},
     title = {Positive solutions for semipositone fourth-order two-point boundary value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a83/}
}
TY  - JOUR
AU  - Yang, Dandan
AU  - Zhu, Hongbo
AU  - Bai, Chuanzhi
TI  - Positive solutions for semipositone fourth-order two-point boundary value problems
JO  - Electronic Journal of Differential Equations
PY  - 2007
VL  - 2007
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a83/
LA  - en
ID  - EJDE_2007__2007__a83
ER  - 
%0 Journal Article
%A Yang, Dandan
%A Zhu, Hongbo
%A Bai, Chuanzhi
%T Positive solutions for semipositone fourth-order two-point boundary value problems
%J Electronic Journal of Differential Equations
%D 2007
%V 2007
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a83/
%G en
%F EJDE_2007__2007__a83
Yang, Dandan; Zhu, Hongbo; Bai, Chuanzhi. Positive solutions for semipositone fourth-order two-point boundary value problems. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a83/