| 一类二阶多点时标边值问题无界解的存在性 |
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| 引用本文： | 赵向奎,葛渭高.一类二阶多点时标边值问题无界解的存在性[J].数学的实践与认识,2009,39(12). |
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| 作者姓名： | 赵向奎 葛渭高 |
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| 作者单位： | 1. 北京科技大学,应用科学学院,北京,100083;北京理工大学,数学系,北京,100081
2. 北京科技大学,应用科学学院,北京,100083 |
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| 摘 要： | 借助不动点定理研究边值问题(φp(u△(t)))▽+f(t,u(t))=0,t∈(0,∞)Tu(0)=∑m-2i=1αiu(ηi),φp(u△(∞))=∑m-2i=1βiφp(u△(ηi))多个正解的存在性,得到了正解存在的充分条件.
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| 关 键 词： | 边值问题 不动点定理 时标 无穷区间 |
Unbounded Solutions for Time-scale Boundary Value Problems on Infinite Intervals |
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| ZHAO Xiang-kui,GE Wei-gao.Unbounded Solutions for Time-scale Boundary Value Problems on Infinite Intervals[J].Mathematics in Practice and Theory,2009,39(12). |
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| Authors: | ZHAO Xiang-kui GE Wei-gao |
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| Abstract: | We Consider the following m-point boundary value problem time scales(φp(u△(t)))▽+f(t,u(t))=0,t∈(0,∞)Tu(0)=∑m-2i=1αiu(ηi),φp(u△(∞))=∑m-2i=1βip(u△(ηi)) where φp(u△(∞))=limt∈T,t→∞p(u△(t)).Some new sufficient conditions for the existence of at least onepositive solution to the above problem are presented.Theinteresting point is that the positive solution of the above problemis unbounded. |
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| Keywords: | boundary value problem fixed point theorem time scale infinite interval |
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