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ZHANG Li, GE Wei-gao. Positive Pseudo-Symmetric Solutions for Some Nonlinear Systems at Resonance[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(4): 495-498.
Citation: ZHANG Li, GE Wei-gao. Positive Pseudo-Symmetric Solutions for Some Nonlinear Systems at Resonance[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2010, 19(4): 495-498.
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Positive Pseudo-Symmetric Solutions for Some Nonlinear Systems at Resonance

  • 1.

    School of Science, Beijing Institute of Technology, Beijing 100081, China;The Institute of Tourism of Beijing Union University, Beijing 100101, China

  • 2.

    School of Science, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2009-11-30
    Abstract
  • By means of an extension of Mawhin’s continuation theorem due to Ge, this work shows the existence of at least one positive pseudo-symmetric solution of the multi-point boundary value system.The interesting fact is that the nonlinear terms are involved in the first order derivatives.
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    • References (6)
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    Kosmatov N. A symmetric solution of a multipoint boundary value problem at resonance[J]. Abstract and Applied Analysis, 2006,54121: 1-11.
    [2]
    Feng H, Lian H, Ge W. A symmetric solution of a multipoint boundary value problem with one-dimensional p-Laplacian at resonance[J]. Nonlinear Anal, 2008, 69: 3964-3972.
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    Liu B. The existence of positive solutions of singular boundary value systems with p-Laplacian[J]. Acta Math Sin, 2005,1:35-50.
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    Ji D, Feng H, Ge W. The existence of symmetric positive solutions for some nonlinear equation systems[J]. Appl Math Comput, 2008,197:51-59.
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    Avery R I, Henderson J. Existence of three positive pseudo-symmetric solutions for a one-dimensional p-Laplacian[J]. J Math Anal Appl, 2003, 277: 395-404.
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    Ge W, Ren J. An extension of Mawhin’s continuation theorem and its application to boundary value problems with a p-Laplacian[J]. Nonlinear Anal, 2004,58:477-488.
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