EIGENVALUE PROBLEMS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 46, Issue 5, 2009, pp.999-1011
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2009.46.5.999

Title & Authors

EIGENVALUE PROBLEMS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

Guo, Mingzhou; Sun, Hong-Rui;

Guo, Mingzhou; Sun, Hong-Rui;

Abstract

In this paper, we are concerned with the following eigenvalue problems of m-point boundary value problem for p-Laplacian dynamic equation on time scales , , where u, p > 1 and > 0 is a real parameter. Under certain assumptions, some new results on existence of one or two positive solution and nonexistence are obtained for evaluated in different intervals. Our work develop and improve many known results in the literature even for the continual case. In doing so the usual restriction that and exist is removed. As an applications, an example is given to illustrate the main results obtained.

Keywords

eigenvalue;time scale;positive solution;fixed point;

Language

English

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