Electron. J. Diff. Equ., Vol. 2012 (2012), No. 198, pp. 1-8.

Nonlinear first-order periodic boundary-value problems of impulsive dynamic equations on time scales

Wen Guan, Dun-Gang Li, Shuang-Hong Ma

Abstract:
By using the fixed point theorem in cones, in this paper, existence criteria for single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. An example is given to illustrate the main results in this article.

Submitted August 20, 2012. Published November 10, 2012.
Math Subject Classifications: 39A10, 34B15.
Key Words: Periodic boundary value problem; positive solution; fixed point; time scale; impulsive dynamic equation.

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Wen Guan
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, China
email: mathgw@sohu.com
Dun-Gang Li
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, China
email: dungangli@gmail.com
Shuang-Hong Ma
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, China
email: mashuanghong@lut.cn

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