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一类奇异三阶m点边值问题正解的存在性

DOI: 10.3969/j.issn.1001-8395.2015.05.004, PP. 648-655

Keywords: 三阶m点边值问题,奇异,特征值,正解,锥拉伸与压缩不动点定理

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Abstract:

在αi≥0,i=1,2,…,m-3,αm-2>0,∑m-2i=1αi>1,ξi满足00,q∈C((0,1),R+),f∈C(0,1×R+,R+).运用锥拉伸与压缩不动点定理,在f满足超线性或次线性的情况下,不仅得到该边值问题正解的存在性,同时还得到使得问题有解的特征值λ的取值范围.

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