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共振条件下泛函边值问题解的存在性 被引量：1

Existence of Solutions for a Class of Function Boundary Value Problems at Resonance
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摘要 使用Mawhin重合度理论得到了一类二阶常微分方程泛函边值问题解的存在性。 This paper deals with the existence of solutions to a class of second-order function boundary value problems for ordinary differential equations with the help of Mawhin coincidence theorem.
作者 周韶林 韩晓玲
机构地区 西北师范大学数学与信息科学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2010年第5期783-786,共4页 Journal of Jilin University:Science Edition
基金 甘肃省自然科学基金(批准号:3ZS051-A25-016) 西北师范大学科技创新工程项目(批准号:nwnu-kjcxgc-03-69)
关键词 泛函边值问题 共振 FREDHOLM算子 重合度理论 function boundary value problem resonance Fredholm operators coincidence degree theory
分类号 O175.8 [理学—基础数学]
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参考文献10

  • 1MA Run-yun.Multiplicity Results for a Third Order Boundary Value Problem at Resonance[J].Nonlinear Anal:Theory Method & Applications,1998,32(4):493-499.
  • 2MA Run-yun.Existence Theorems for a Second Order m-Point Boundary Value Problem[J].J Math Anal Appl,1995,211(2):545-555.
  • 3MA Run-yun.Multiplicity Results for a Three Point Boundary Value Problem at Resonance[J].Nonlinear Anal:Theory,Method & Applications,2003,53(6):777-789.
  • 4Feng W,Webb J R L.Solvability of Three-Point Boundary Value Problems at Resonance[J].Nonlinear Anal:Theory,Method & Applications,1997,30(6):3227-3238.
  • 5LIU Bing.Solvability of Multi-point Boundary Value Problems at Resonance(IV)[J].Appl Math Comput,2003,143(2/3):275-299.
  • 6DU Zeng-ji,LIN Xiao-jie,GE Wei-gao.On a Third-Order Multi-point Boundary Value Problem at Resonance[J].J Math Anal Appl,2005,302(1):217-229.
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  • 8Kosmatov N.A Multi-point Boundary Value Problem with Two Critical Conditions[J].Nonlinear Anal:Theory,Method & Applications,2006,65(3):622-633.
  • 9LIU Bing,ZHAO Zhi-liang.A Note on Multi-point Boundary Value Problems[J].Nonlinear Anal:Theory,Method & Applications,2007,67(9):2680-2689.
  • 10Mawhin J.Topological Degree Methods in Nonlinear Boundary Value Problems[M].Providence,RL:Amer Math Soc,1979.

同被引文献6

  • 1ZHANG YINGHAN, BAI ZHANBING. Existence of solutions fornonlinear fractional three-point boundary value problem at reso-nance [J ]. J Appl Math Comput,2011, 36( 1/2) ; 417 - 440.
  • 2BAI ZHANBING, ZHANG YINGHAN. The existence of solutionsfor a fractional multi-point boundary value problem[ J] ? Appl MathComput, 2010,60(8) : 2364 -2372.
  • 3PODLUBNY I. Fractional differential equations [ M ]//AMES WF. Mathematics in sciences and engineering. San Diego : Academ-ic Press, 1999.
  • 4KILBAS A A, SRIVASTAVA H M, TRUJILLO J J. Theory andapplications of fractional differential equations [ M ] //von MILL J.North-holland mathematics studies. Amsterdam : Elsevier ScienceLtd, 2006.
  • 5BAI ZHANBING, LU HAISHEM. Positive solutions for boundaryvalue problem of nonlinear fractional differential equation [ J ]. JMath Anal Appl, 2005, 311(2) : 495 -505.
  • 6暴宁伟.奇异一阶微分方程周期边值问题的正解[J].河北工程大学学报（自然科学版）,2008,25(2):98-100. 被引量：6

引证文献1

吉林大学学报（理学版）
2010年 第5期

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