Existence of Solutions for a Class of Fourth-Order BVP

Lu Yu

doi:10.3969/j.issn.1007-7162.2014.02.013

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Existence of Solutions for a Class of Fourth-Order BVP

更新时间：2026-05-27

- Existence of Solutions for a Class of Fourth-Order BVP
- Vol. 31, Issue 2, Pages: 69-73(2014)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2014.02.013
  CLC： O175.1
- Online First：06 June 2014，
  
  Published：2014
- 稿件说明：
移动端阅览
陆宇. 一类四阶边值问题解的存在性[J]. 广东工业大学学报, 2014, 31(2): 69-73.

Lu Yu. Existence of Solutions for a Class of Fourth-Order BVP[J]. 2014, 31(2): 69-73.
陆宇. 一类四阶边值问题解的存在性[J]. 广东工业大学学报, 2014, 31(2): 69-73. DOI： 10.3969/j.issn.1007-7162.2014.02.013.

Lu Yu. Existence of Solutions for a Class of Fourth-Order BVP[J]. 2014, 31(2): 69-73. DOI： 10.3969/j.issn.1007-7162.2014.02.013.

摘要

考虑边值问题:{u(4)(t)=λa(t)f(t

u(t)

u″(t))

0<t<1

u(0)=u(1)=0

u″(0)=u″(1)=0.利用上下解方法和不动点理论

得到上述边值问题解的存在性的一些充分条件.

Abstract

A class of fourth-order BVP was studied as follows

{u (4) (t) =λa (t) f (t

u (t)

u″ (t) )

0 <t <1

u (0) = u (1) = 0

u″ (0) = u″ (1) = 0.By using the method of the upper and lower solutions and the fixed point theorem

some sufficient conditions of the existence of upper BVP were achieved.

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