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Exact number of solutions for a class of two-point boundary value problems with one-dimensional p-Laplacian |
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| Authors: | Meiqiang Feng Xuemei Zhang Weigao Ge |
| Affiliation: | a Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101, PR China b Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, PR China c Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China |
| Abstract: | In this paper, exact number of solutions are obtained for the one-dimensional p-Laplacian in a class of two-point boundary value problems. 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 of solutions p-Laplacian Properties of the solutions |
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