利用非线性泛函分析中推广的锥拉伸与锥压缩不动点定理,在多点边值条件下得到了一类高阶奇异非线性( k,n-k)共轭边值问题正解的存在性结果。%By means of the extended fixed point theorem concerning cone compression and expansion in non-linear functional analysis, the existence is obtained in the paper for the singular higher order( k,n-k) conju-gate boundary value problems, subject to multi-point boundary value conditions.
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