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2007, 01, No.20 1-3+14
四阶四点边值问题的上下解方法
基金项目(Foundation): 南通大学自然科学基金项目(05Z008)
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发布时间: 2007-03-30
出版时间: 2007-03-30
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摘要:

应用单调迭代法建立了一类四阶四点边值问题{u4(t)=f(t,u(t)),0n(ξ1)-bum1)=0,cun2)+dum2)=0}的上下解方法,这里a,b,c,d为非负数,0≤ξ12≤1,满足ac(ξ21)+ad+bc≠0.

Abstract:

In this paper we conceder the fourth-order four-point boundary value problem {u4(t)=f(t,u(t)),0n(ξ1)-bum1)=0,cun2)+dum2)=0} By developing the upper and lower solution method and monotone iterative technique, we obtain some positive solutions, wherea, b, c, d are nonnegative, 0≤ξ12≤1,and ac(ξ21)+ad+bc≠0.

参考文献

[1]Ilin V A,Moiseev Ei.Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects[J].Differential Equation,1987,23:803-810.

[2]Zhang Z X,Wang J.The upper and lower solutions method for a class of singular nonlinear second order three point val-ue problems[J].J.Comput.Appl.Math.,2003,147:41-52.

[3]Ma R Yu,Zhang J H,Fu S M.The method of upper and lower solutions for fourth-order two point boundary value problems[J].J.Math.Anal.,1997,215:415-422.

[4]姚庆六,白占兵.u(4)(t)-&h(t)f(u(t))=0的边值问题的正解存在性[J].数学年刊,1999:20(A):575-578.

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基本信息:

中图分类号:O175.8

引用信息:

[1]张凤然,马金江.四阶四点边值问题的上下解方法[J].南通大学学报(自然科学版),2007,No.20(01):1-3+14.

基金信息:

南通大学自然科学基金项目(05Z008)

发布时间:

2007-03-30

出版时间:

2007-03-30

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