Multiple positive solutions to third-order three-point singular semipositone boundary value problem

dc.creatorYu, Huimin
dc.creatorHaiyan, L
dc.creatorLiu, Yansheng
dc.date2005-03-05
dc.date.accessioned2026-07-07T05:17:41Z
dc.date.available2026-07-07T05:17:41Z
dc.descriptionBy using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple positive solutions for the third-order three-point singular semipositone BVP: $\begin{cases} x'''(t)-\ld f(t,x) =0, &t\in(0,1); [.3pc] x(0)=x'(η)=x''(1)=0, & \end{cases}$ where ${1/2}<η<1$, the non-linear term $f(t,x):(0,1)\times(0,+ı)\to (-ı,+ı)$ is continuous and may be singular at $t=0$, $t=1$, and $x=0$, also may be negative for some values of $t$ and $x$, $\ld$ is a positive parameter.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0503094
dc.identifierhttp://arxiv.org/abs/math/0503094
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 4, November 2004, pp. 409-422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74399
dc.subjectClassical Analysis and ODEs
dc.titleMultiple positive solutions to third-order three-point singular semipositone boundary value problem
dc.typetext

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