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一类四阶两点边值问题多个正解的存在性 被引量:6

Existence of Multiple Positive Solutions of a Class of Fourth-Order Two-Point Boundary Value Problems
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摘要 运用不动点指数理论,研究了四阶两点边值问题u(4)(t)=f(t,u(t),u′(t),u″(t),u(t))0<t<1u(0)=u′(1)=0,au″(0)-bu(0)=0,cu″(1)+du(1)=0{多个正解的存在性. Under some conditions concerning the first eigenvalue, applying the fixed point index theory, the authors of the paper study the existence of multiple positive solutions for the fourth-order two-point boundary value problem
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第4期79-83,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11101335)
关键词 正解 不动点指数 第一特征值 positive solution cone fixed point index first eigenvalue
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参考文献6

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二级参考文献14

  • 1马慧莉,马如云.二阶常微分方程边值问题解的存在性[J].西南师范大学学报(自然科学版),2005,30(1):22-25. 被引量:7
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