Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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h-STABILITY FOR NONLINEAR PERTURBED DIFFERENCE SYSTEMS

  • Choi, Sung-Kyu (Department of Mathematics, Chungnam National University) ;
  • Koo, Nam-Jip (Department of Mathematics, Chungnam National University) ;
  • Song, Se-Mok (Department of Mathematics Education, Chongju University)
  • Published : 2004.08.01
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Abstract

We show that two concepts of h-stability and h-stability in variation for nonlinear difference systems are equivalent by using the concept of $n_{\infty}$-summable similarity of their associated variational systems. Also, we study h-stability for perturbed non-linear system y(n+1) =f(n,y(n)) + g(n,y(n), Sy(n)) of nonlinear difference system x(n+1) =f(n,x(n)) using the comparison principle and extended discrete Bihari-type inequality.

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References

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Cited by

  1. h-Stability of Linear Matrix Differential Systems vol.2013, 2013, https://doi.org/10.1155/2013/781983