Classification of Nonoscillatory Solutions of Higher Order Neutral Type Difference Equations
نویسندگان
چکیده
The authors consider the diierence equation () m yn ? pny n?k ] + qny (n+m?1) = 0 f(n)g is a sequence of integers with (n) n and limn!1 (n) = 1. They obtain results on the classiication of the set of nonoscillatory solutions of () and use a xed point method to show the existence of solutions having certain types of asymptotic behavior. Examples illustrating the results are included.
منابع مشابه
A Classification Scheme for Nonoscillatory Solutions of a Higher Order Neutraldifference Equation
Classification schemes for nonoscillatory solutions of nonlinear difference equations are important since further investigations of some of the qualitative behaviors of nonoscillatory solutions can then be reduced to only a number of cases. There are several studies which provide such classification schemes for difference equations, see, for example, [4– 11]. In particular, in [7], a class of n...
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