Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative
Electronic journal of differential equations, Tome 2006 (2006)
We consider multiplicity of positive solutions for second-order m-point boundary-value problems, with the first order derivative involved in the nonlinear term. Using a fixed point theorem, we show the existence of at least three positive solutions. By giving an example we illustrate the main result of the article.
Classification :
34B10, 34B15
Keywords: boundary value problem, positive solution, cone, fixed point theorem
Keywords: boundary value problem, positive solution, cone, fixed point theorem
@article{EJDE_2006__2006__a75,
author = {Yang, Liu and Liu, Xiping and Shen, Chunfang},
title = {Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative},
journal = {Electronic journal of differential equations},
year = {2006},
volume = {2006},
zbl = {1100.34015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a75/}
}
TY - JOUR AU - Yang, Liu AU - Liu, Xiping AU - Shen, Chunfang TI - Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative JO - Electronic journal of differential equations PY - 2006 VL - 2006 UR - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a75/ LA - en ID - EJDE_2006__2006__a75 ER -
%0 Journal Article %A Yang, Liu %A Liu, Xiping %A Shen, Chunfang %T Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative %J Electronic journal of differential equations %D 2006 %V 2006 %U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a75/ %G en %F EJDE_2006__2006__a75
Yang, Liu; Liu, Xiping; Shen, Chunfang. Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a75/