EXISTENCE OF NONOSCILLATORY SOLUTIONS OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

Title & Authors
EXISTENCE OF NONOSCILLATORY SOLUTIONS OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS
Li, Qiaoluan; Liang, Haiyan; Dong, Wenlei; Zhang, Zhenguo;

Abstract
In this paper, we investigate nonoscillatory solutions of a class of higher order neutral nonlinear difference equations with positive and negative coefficients $\small{\Delta^m(x(n)+p(n)x(\tau(n)))+f_1(n,x(\sigma_1(n)))-f_2(n,x(\sigma_2(n)))=0,\;n{\geq}n_0}$. Some sufficient conditions for the existence of nonoscillatory solutions are obtained.
Keywords
nonoscillatory;positive and negative coefficients;neutral term;
Language
English
Cited by
1.
Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations, Applied Mathematics and Computation, 2009, 215, 6, 2174
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