Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF FORCED NONLINEAR NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yuji (Department of Mathematics, Hunan Institute of Technology) ;
  • Ge, Weigao (Department of Mathematics, Beijing Institute of Technology)
  • Published : 2004.09.01

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Abstract

In this paper, we consider the asymptotic behavior of solutions of the forced nonlinear neutral difference equation $\Delta[x(n)-\sumpi(n)x(n-k_i)]+\sumqj(n)f(x(n-\iota_j))=r(n)$ with sign changing coefficients. Some sufficient conditions for every solution of (*) to tend to zero are established. The results extend and improve some known theorems in literature.

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