Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EXISTENCE OF NONOSCILLATORY SOLUTIONS OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

  • Li, Qiaoluan (COLLEGNE OF MATHEMATICS AND INFORMATION SCIENCE HEBEI NORMAL UNIVERSITY) ;
  • Liang, Haiyan (COLLEGNE OF MATHEMATICS AND INFORMATION SCIENCE HEBEI NORMAL UNIVERSITY) ;
  • Dong, Wenlei (COLLEGNE OF MATHEMATICS AND INFORMATION SCIENCE HEBEI NORMAL UNIVERSITY) ;
  • Zhang, Zhenguo (COLLEGNE OF MATHEMATICS AND INFORMATION SCIENCE HEBEI NORMAL UNIVERSITY)
  • Published : 2008.02.29
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Abstract

In this paper, we investigate nonoscillatory solutions of a class of higher order neutral nonlinear difference equations with positive and negative coefficients $\Delta^m(x(n)+p(n)x(\tau(n)))+f_1(n,x(\sigma_1(n)))-f_2(n,x(\sigma_2(n)))=0,\;n{\geq}n_0$. Some sufficient conditions for the existence of nonoscillatory solutions are obtained.

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References

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