POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 124-128.

• 论文 • 上一篇

POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

马如云, 张凤然

Department of Mathematics, Normal University, Lanzhou 730070, China

收稿日期:1997-01-13 修回日期:1997-06-17 出版日期:1998-12-31 发布日期:1998-12-31

POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Ma Ruyun, Zhang Fengrun

Department of Mathematics, Normal University, Lanzhou 730070, China

Received:1997-01-13 Revised:1997-06-17 Online:1998-12-31 Published:1998-12-31

摘要/Abstract

摘要： Under suitable conditions on h(x)and f(u)|the authors show that the following boundary value problem
(d⁴y)/dx⁴-h(x)f(y(x))=0,
y(0)=y(1)=y"(0)=y"(1)=0
has at least one positive solution.Moreover|the authors also establish several existence theorems of multiple positive solutions

关键词: fourth-order BVP, positive solution, cone, fixed point

Abstract: Under suitable conditions on h(x)and f(u)|the authors show that the following boundary value problem
(d⁴y)/dx⁴-h(x)f(y(x))=0,
y(0)=y(1)=y"(0)=y"(1)=0
has at least one positive solution.Moreover|the authors also establish several existence theorems of multiple positive solutions

Key words: fourth-order BVP, positive solution, cone, fixed point

马如云, 张凤然. POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(S1): 124-128.

Ma Ruyun, Zhang Fengrun. POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 1998, 18(S1): 124-128.

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POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

POSITIVE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS

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