Positive solution for m-point boundary value problems

Positive solution for m-point boundary value problems
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DOI:
10.1016/j.jmaa.2004.08.056
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发表时间:
2005-03
影响因子:
1.3
通讯作者:
W. Cheung;Jingli Ren
W. Cheung;Jingli Ren
中科院分区:
数学3区
文献类型:
--
作者:
W. Cheung;Jingli Ren

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在本文中,我们研究了具有符号变化非线性的 m 点边值问题。通过构造可用算子并结合低解法和拓扑度法来确定是否存在保证问题至少有一个正解的参数区间。此外,还给出了上述问题的相关格林函数。
In this paper, we investigate an m-point boundary value problem with sign changing nonlinearity. The existence of an interval of parameters which ensures the problem has at least one positive solution is determined by constructing available operator and combining the method of lower solution with the method of topology degree. Moreover, the associated Green's function for the above problem is also given.