屈海东, 刘轩. 三阶非线性微分方程组边值问题的正解[J]. 华南师范大学学报（自然科学版）, 2009, 1(2): 16-19 .
引用本文: 屈海东, 刘轩. 三阶非线性微分方程组边值问题的正解[J]. 华南师范大学学报（自然科学版）, 2009, 1(2): 16-19 .
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POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATIONS[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(2): 16-19 .
Citation: POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATIONS[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(2): 16-19 .
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三阶非线性微分方程组边值问题的正解

POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATIONS

    摘要
  • 摘要: 本文讨论了三阶非线性微分方程组正解的存在性.在假设条件下,利用锥拉伸与锥压缩不动点定理获得了正解的存在性.

     

    Abstract: The paper investigates the problem of existence of positive solutions for systems of nonlinear third-order differential equations.Under some suitable conditions, the existence and multiplicity of positive solutions are established by cone expansion and compression theorems in norm type.

     

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