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ArticleOriginal scientific text

Title

Classifications and existence of positive solutions of a higher order nonlinear difference equation

Authors 1, 2

Affiliations

  1. Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, P.R. China
  2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.

Abstract

A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.

Keywords

ENG
sublinear function, nonlinear difference equation, superlinear function, eventually positive solution, existence theorem

Bibliography

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Colloquium Mathematicum
2000/83/1
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Pages:
137-153
Main language of publication
English
Received
1998-11-09
Published
2000
Exact and natural sciences