Positive solutions for singular semi-positone Neumann boundary-value problems

Electronic Journal of Differential Equations

关键词: Positive solution;    semi-positone;    fixed points;    cone;    singular Neumann boundary-value problem.;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we study the singular semi-positone Neumann bound-ary-value problem$$displaylines{ -u''+m^2u=lambda f(t,u)+g(t,u),quad 0 less than t less than 1,cr u'(0)=u'(1)=0, }$$where $m$ is a positive constant. Under some suitable assumptions on the functions $f$ and $g$, for sufficiently small $lambda$, we prove the existence of a positive solution. Our approach is based on the Krasnasel'skii fixed point theorem in cones.

【 授权许可】

Unknown