Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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LYAPUNOV FUNCTIONS FOR NONLINEAR DIFFERENCE EQUATIONS

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Cui, Yinhua (Department of Applied Mathematics Paichai University) ;
  • Koo, Namjip (Department of Mathematics Chungnam National University)
  • Received : 2011.10.15
  • Accepted : 2011.11.18
  • Published : 2011.12.30
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Abstract

In this paper we study h-stability of the solutions of nonlinear difference system via the notion of $n_{\infty}$-summable similarity between its variational systems. Also, we show that two concepts of h-stability and h-stability in variation for nonlinear difference systems are equivalent. Furthermore, we characterize h-stability for nonlinear difference systems by using Lyapunov functions.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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