Electron. J. Diff. Eqns., Vol. 2007(2007), No. 72, pp. 1-13.

Oscillation of second-order nonlinear impulsive dynamic equations on time scales

Mugen Huang, Weizhen Feng

Abstract:
In this article, we study the oscillation of second-order nonlinear impulsive dynamic equations on time scales. Using Riccati transformation techniques, we obtain sufficient conditions for oscillation of all solutions. An example is given to show that the impulses play a dominant part in oscillations of dynamic equations on time scales.

Submitted November 27, 2006. Published May 15, 2007.
Math Subject Classifications: 39A10, 39A11, 39A99, 34C10, 34K11.
Key Words: Oscillation; impulsive dynamic equations; time scales.

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Mugen Huang
Institute of Mathematics and Information Technology
Hanshan Normal University
Chaozhou 521041, China
email: huangmugen@sohu.com
Weizhen Feng
School of Mathematical Sciences
South China Normal University
Guangzhou 510631, China
email: wsy@scnu.edu.cn

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