EXISTENCE OF SOLUTIONS TO A THIRD-ORDER MULTI-POINT PROBLEM ON TIME SCALES

被引：0

作者：

Anderson, Douglas R. ^{[1
]}

Hoffacker, Joan ^{[2
]}

机构：

[1] Concordia Coll, Dept Math & Comp Sci, Moorhead, MN 56562 USA

[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Boundary value problem; time scale; third order; Green function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed point theorem. Moreover, a third-order multi-point eigenvalue problem is formulated, and eigenvalue intervals for the existence of a positive solution are found.

引用

页数：15

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