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Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations 被引量:3

Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations
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摘要 By using fixed-point index theory,we study boundary value problems for systems of nonlinear second-order differential equation,and a result on existence and multiplicity of positive solutions is obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期179-184,共6页 数学季刊(英文版)
基金 Sponsored by the NSF of Anhui Provence(2005kj031ZD,050460103) Supported by the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Provence and the Key NSF of Education Ministry of China(207047)
关键词 boundary value problems fixed-point index positive solution CONE 边界价值问题;定点索引;积极答案;锥;
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参考文献10

  • 1MA Ru-yun. Non-local Problems of Nonlinear Ordinary Differential Equation[M]. Beijing: Science Press, 2004.
  • 2GUO Da-jun. Nonlinear Function Analysis[M]. Jinan" Science and Technology Press, 2004.
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同被引文献20

  • 1MA :Ru-yun. Multiplicity of positive solutions for second-order three-point boundary value problems[J] Computers Mathematics with Applications, 2000, 40: 193-204.
  • 2YAO Qing-liu. Existence and multiplicity of positive solutions for a class of second-order three-point non- linear boundary value problems[J]. Acta Mathematica Sinica, 2002, 6: 1057-1064.
  • 3LIU Bing. Positive solutions of a nonlinear three-point boundary value problem[J]. Applied Mathematics Com-putation, 2002, 132: 11-28.
  • 4MA Ru-yun. Positive solutions of a nonlinear three-point boundary value problem[J]. Electronic Journal of Differential Equations, 1998, 34: 1-8.
  • 5ERBE L H, WANG H Y. On the existence of positive solutions of ordinary differential equations[J]. Proe Amer Math Soc, 1994, 120: 743-748.
  • 6SUN Yong-ping. Positive solutions for third-order three-point nonhomogeneous boundary value problems[J]. Appl Math Lett, 2009, 22: 45-51.
  • 7XIE Sheng-li, ZHU Jiang. Existence of positive radial solutions for elliplic systems[J]. Advance in Dy- namical Systems and Applications, 2007, 2(1): 123-133.
  • 8GE Wei-gao. Boundary Value Problem of Nonlinear Ordinary Differential Equation[M]. Beijing: Science Press, 2007.
  • 9MA Ru-yun. Non-local Problems of Nonlinear Ordinary Differential Equation[M]. Beijing: Science Press, 2004.
  • 10YANG Zhi-lin. Positive solutions of boundary value problems for systems of nonlinear second ordinary differential equations[J]. Acta Math Sinica, 2004, 47(1): 111-118.

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