Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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OSCILLATIONS FOR EVEN-ORDER NEUTRAL DIFFERENCE EQUATIONS

  • Zhou, Zhan (Deaprtment of Applied Mathematics, Hunan University) ;
  • Yu, Jianshe (Deaprtment of Applied Mathematics, Hunan University) ;
  • Lei, Guanglong (Institute of International Business, Hunan University)
  • Published : 2000.09.01

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Abstract

Consider the even-order neutral difference equation (*) ${\delta}^m(x_n{-}p_ng(x_{n-k}))-q_nh(x_{n-1})=0$, n=0,1,2,... where $\Delta$ is the forward difference operator, m is even, ${-p_n},{q_n}$ are sequences of nonnegative real numbers, k, l are nonnegative integers, g(x), h(x) ${\in}$ C(R, R) with xg(x) > 0 for $x\;{\neq}\;0$. In this paper, we obtain some linearized oscillation theorems of (*) for $p_n\;{\in}\;(-{\infty},0)$ which are discrete results of the open problem by Gyori and Ladas.

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References

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