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THREE SOLUTIONS THEOREMS FOR NONLINEAR OPERATOR EQUATIONS AND APPLICATIONS 被引量:1

THREE SOLUTIONS THEOREMS FOR NONLINEAR OPERATOR EQUATIONS AND APPLICATIONS
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摘要 In this paper, some three solutions theorems about a class of operators which are said to be limit-increasing are obtained. Some applications to the second order differential equations boundary value problems are given.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2005年第1期119-125,共7页 系统科学与复杂性学报(英文版)
基金 TheprojectissupportedbytheNationalNaturalScienceFoundationofChina(10371066).
关键词 nonlinear operator CONE fixed point topological degree 非线性算子 锥点理论 不动点理论 拓扑度
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参考文献6

  • 1H Amann, Fixed point equation and nonlinear eigenvalue problems in ordered Banach spaces,SIAM Review, 1976, 18: 620-709.
  • 2Dajun Guo and V Lakshmikantham. Nonlinear Problems in Abstract Cones, Academic Press Boston, New York, 1988.
  • 3K Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin Heidelberg, 1985.
  • 4H Amann, Fixed point equation and nonlinear eigenvalue problems in ordered Banach spaces,SIAM Review, 1976, 18: 620-709.
  • 5Dajun Guo and V Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press Boston, New York, 1988.
  • 6K Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin Heidelberg, 1985.

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