A fourth-order four-point right focal boundary value problem

被引：19

作者：

Anderson, Douglas R. ^{[1
]}

Avery, Richard I.

机构：

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

[2] Dakota State Univ, Coll Nat Sci, Madison, SD 57042 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 02期

关键词：

right focal; boundary value problems; Green's function; fixed points;

D O I：

10.1216/rmjm/1181069456

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with the unit interval right focal boundary value problem -x((4)) (t) = f(x(t)), x(0) = x'(q) = x"(r) = x"' (1) = 0. Under various assumptions on f and the real numbers 0 < q < r < 1 we prove the existence of positive solutions for this boundary value problem by applying a generalization of the Leggett-Williams fixed point theorem, the Five Functionals Fixed-Point Theorem.

引用

页码：367 / 380

页数：14

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