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n阶非线性特征值问题的多个正解的存在性

The Existence of Multiple Positive Solutions to nOrder Nonliaear Eigenvalue Problem
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摘要 利用锥上的不动点定理,讨论了含有参数λ(λ>0)的n阶非线性特征值问题的多个正解的存在性,给出了4个正解存在的充分条件. By fixed point theorem of Krasnosel'skii-Guo,the paper studies the existence of multiple positive solutions of n order nonlinear eigenvalue problem with multi-point boundary value condition,the existence theorem of multiple positive solutions is obtained.
出处 《河南大学学报(自然科学版)》 CAS 北大核心 2012年第1期13-16,共4页 Journal of Henan University:Natural Science
基金 河南省科技厅基础与前沿技术研究项目(072300410096) 河南省教育厅自然科学基金资助项目(2009A110023)
关键词 非线性特征值 多点边值问题 正解 存在性 nonlinear eigenvalue problem multi-point boundary value problem positive solution existence
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