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A classification scheme for nonoscilatory solutions of a higher order neutral nonlinear difference equation

Part of: Difference and functional equations Difference equations

Published online by Cambridge University Press:  09 April 2009

Li Wan-Tong ,
Sui Sun Cheng  and
Guang Zhang
Li Wan-Tong
Affiliation:
Institute of Mathematics Gansu University of Technology Lanzhou, Gansu 730050 P. R., China
Sui Sun Cheng
Affiliation:
Department of Mathematics Tsing Hua University Hsinchu, Taiwan 30043 R. O. C.
Guang Zhang
Affiliation:
Department of Mathematics Datong Advanced CollegeDatong, Shanxi 037008 P. R., China
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Abstract

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Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. Existence criteria are then provided for justification of such classficiation.

Keywords

Nolinear netural difference equationnonoscillatory solutionsuperlinear functionsublinear funcitonexistence criteria.

MSC classification

Secondary: 39A10: Difference equations, additive
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 67 , Issue 1 , August 1999 , pp. 122 - 142
Copyright
Copyright © Australian Mathematical Society 1999

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