Oscillation of difference systems of the neutral type

✍ Scribed by E. Thandapani; P. Mohan Kumar

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 257 KB
• Volume: 54
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2006.12.029

✦ Synopsis

The authors consider the nonlinear difference systems

where δ = ±1, {a n }, { p n } and {q n } are real sequences, {σ (n)} and {τ (n)} are real non-negative sequences of integers, and f, g : R → R are continuous with u f (u) > 0 and ug(u) > 0 for u = 0. The authors obtain sufficient conditions for all solutions of the system to be oscillatory. Examples to illustrate the results are included.