Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 179-184.

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Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Differential Equations 

  

  1. 1. Department of Mathematics, Anhui Normal University2. The High School Affiliated to Anhui Normal University

  • Received:2007-11-22 Online:2011-06-30 Published:2023-04-26
  • About author:ZHENG Dong-mei(1983-), female, native of Suzhou, Anhui, engages in differential equations; LU Shi-ping(1962-), male, native of Chaohu, Anhui, a professor of Anhui Normal University, engages in differential equations.
  • Supported by:
    Supported 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);

Abstract: 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.

Key words: boundary value problems, ?xed-point index, positive solution, cone

CLC Number: