Linearized oscillations in nonlinear delay difference equations

October 1999, Volume 15, Issue 4, pp 569–574 | Cite as

Article

Received: 17 September 1997

Revised: 23 February 1998

Accepted: 12 June 1998

Abstract

Consider the nonlinear delay difference equation \(x_{n + 1} - x_n + \sum\limits_{j = 1}^m {p_j f_j (x_n - x_j ) = 0.} \)

We establish a linearized oscillation result of this equation, which is the extension of the result in the paper [1].

Delay difference equation Oscillatory Nonoscillatory

34C10 34C15 39A10

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Jurang Yan, Chuanxi Qian. Oscillation and comparison for delay difference equations. J Math Anal Appl, 1992, 165: 346–360MATHCrossRefGoogle Scholar
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Yongkun Li. Linearized oscillation of first-order nonlinear delay difference equations. Chinese Science Bulletin, 1994, 39(13): 1159–1163Google Scholar

1.Department of Computer and MathematicsHubei Institute for NationalitiesEnshiP. R. China
2.Institute of MathematicsAcademia SinicaBeijingP. R. China
3.Department of MathematicsShanxi Normal UniversityXi’anP. R. China