数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (2): 199-206.

• 论文 • 上一篇    下一篇

MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES

 蒋达清   

  1. Department of Mathematics, Northeast Normal University, Changchun 130024, China
  • 出版日期:2002-04-15 发布日期:2002-04-15
  • 基金资助:

    The work was supported by NNSF of China.

MULTIPLE POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER ODES

 JIANG Da-Qing   

  1. Department of Mathematics, Northeast Normal University, Changchun 130024, China
  • Online:2002-04-15 Published:2002-04-15
  • Supported by:

    The work was supported by NNSF of China.

PDF (PC)

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摘要：

This paper deals with the existence of positive solutions to the singular bound-ary value problem
y′′(t) + q(t)f(t, y) = 0, 0 < t < 1,
y(0) = y(1) = 0,
where q(t) may be singular at t = 0 and t = 1, f(t, y) may be superlinear at y = 1 and singular at y = 0.

关键词: Singular boundary value problem, existence, superlinear, the fixed point theorem

Abstract:

This paper deals with the existence of positive solutions to the singular bound-ary value problem
y′′(t) + q(t)f(t, y) = 0, 0 < t < 1,
y(0) = y(1) = 0,
where q(t) may be singular at t = 0 and t = 1, f(t, y) may be superlinear at y = 1 and singular at y = 0.

Key words: Singular boundary value problem, existence, superlinear, the fixed point theorem

中图分类号: 

  • 34B15
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