Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation

• Autorzy: Guang Zhang , Sui Sun Cheng
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

difference equation; eventually positive solution; asymptotic dichotomy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1998-1999
• Tom: 25
• Numer: 4
• Strony: 393-399

Daty

wydano

1999

otrzymano

1997-08-28

Twórcy

autor

Guang Zhang

• Department of Mathematics, Datong Advanced College, Datong, Shanxi 037008, P.R. China

autor

Sui Sun Cheng

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.

Bibliografia

• [1] S. S. Cheng and B. G. Zhang, Monotone solutions of a class of nonlinear difference equations, Comput. Math. Appl. 28 (1994), 71-79.
• [2] V. L. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Math. Appl. 256, Kluwer, 1993.
• [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.