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ArticleOriginal scientific text

Title

Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation

Authors 1, 2

Affiliations

  1. Department of Mathematics, Datong Advanced College, Datong, Shanxi 037008, P.R. China
  2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.

Abstract

A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.

Keywords

ENG
difference equation, eventually positive solution, asymptotic dichotomy

Bibliography

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  3. H. J. Li and S. S. Cheng, Asymptotically monotone solutions of a nonlinear difference equation, Tamkang J. Math. 24 (1993), 269-282.
  4. B. Liu and S. S. Cheng, Positive solutions of second order nonlinear difference equations, J. Math. Anal. Appl. 204 (1996), 482-493.
  5. B. G. Zhang and S. S. Cheng, Oscillation criteria and comparison theorems for delay difference equations, Fasc. Math. 25 (1995), 13-32.
Applicationes Mathematicae
1998-1999/25/4
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Pages:
393-399
Main language of publication
English
Received
1997-08-28
Published
1999
Exact and natural sciences