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一类4阶常微分方程系统边值问题正解的存在性 被引量:1

Existence of Positive Solution for A Class of Fourth-order Systems Boundary Value Problems
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摘要 用一种较简单的方法建立了一类4阶常微分方程系统边值问题正解的存在性结果,对非线性项只要求其满足局部条件. This paper uses a concise approach to guarantee the existence of positive solution for boundary value problem of a class of fourth - order differential equation systems, where the nonlinear term only needs to satisfy a local condition.
作者 王进祥
出处 《重庆理工大学学报(自然科学)》 CAS 2010年第2期114-117,共4页 Journal of Chongqing University of Technology:Natural Science
基金 教育部高等学校博士学科点科研基金资助项目(20060736001)
关键词 边值问题 系统 正解 SCHAUDER不动点定理 boundary value problem systems positive solution Sehauder fixed point theorem
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参考文献5

  • 1Xi L,Li F.Multiple positive solutions for boundary value problem of fourth order system[].Acta Mathematica.2003
  • 2Wong F H,Chen TG,Wang S P.Existence of positive solutions for various boundary value problems[].Computer andmathematics with Applications.2008
  • 3An Y K,Fan X L.On the coupled system of second and fourth order elliptic equations[].Applied Mathematics and Computation.2003
  • 4Zhongli Wei,Mingchuan Zhang.Positive solutions of singular sub-linear boundary value problems for fourth-order and second-order differential equation systems[].Applied Mathematics and Computation.2008
  • 5L.Liu,P.Kang,Y.Wu,Benchawan Wiwatanapataphee.Positive solutions of singularboundary value problems for systems of nonlinear fourth order differential equations[].Nonlinear Analysis.2008

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