Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2003-12-31
Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference EquationYong Zhou (1) Shanghai University of Finance and Economics, China
Consider the forced higher order nonlinear neutral delay difference equation L_m( x(n) + cx(n - τ) ) + F ( n, x(σ(n) ) ) = g(n), (n ≥ n_0). We obtain a global result (with respect to c), which consists of some sufficient conditions for the existence of a non-oscillatory solution of the above equation. Our results improve and extend a number of existing results.
Keywords: Neutral difference equation, non-oscillatory solutions
Zhou Yong: Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference Equation. Z. Anal. Anwend. 22 (2003), 959-975. doi: 10.4171/ZAA/1182