Journal of Applied Mathematics and Computing

, Volume 33, Issue 1, pp 437–448

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

Article

DOI: 10.1007/s12190-009-0295-9

Cite this article as:
Feng, M., Zhang, X. & Ge, W. J. Appl. Math. Comput. (2010) 33: 437. doi:10.1007/s12190-009-0295-9

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 numberPositive solutionsPseudo-symmetricQuadrature method

Mathematics Subject Classification (2000)

34B15

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