Exact number of pseudo-symmetric positive solutions for a p-Laplacian three-point boundary value problems and their applications

Article

Abstract

In this paper, the exact number of pseudo-symmetric positive solutions is obtained for a class of three-point boundary value problems with one-dimensional p-Laplacian. The interesting point is that the nonlinearity f is general form: f(u)=λg(u)+h(u). Meanwhile, some properties of the solutions are given in details. The arguments are based upon a quadrature method.

Keywords

Exact number Positive solutions Pseudo-symmetric Quadrature method 

Mathematics Subject Classification (2000)

34B15 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2009

Authors and Affiliations

  1. 1.Department of MathematicsBeijing Information Science & Technology UniversityBeijingPeople’s Republic of China
  2. 2.Department of Mathematics and PhysicsNorth China Electric Power UniversityBeijingPeople’s Republic of China
  3. 3.Department of MathematicsBeijing Institute of TechnologyBeijingPeople’s Republic of China

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