New results on oscillation for delay differential equations with piecewise constant argument

✍ Scribed by Zhiguo Luo; Jianhua Shen

• Book ID: 104352566
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 401 KB
• Volume: 45
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(03)90005-8

✦ Synopsis

we

introduce a new technique to obtain some new oscillation criteria for the oscillating coefficients delay differential equation with piecewise constant argument of the form r'(t) + a(t)%(t) + b(t)r([t -lc]) = 0, where a(t) and b(t) are right continuous functions on [-k, oo), k is a positive integer, and [.I denotes the greatest integer function. Our results improve and generalize the known results in the literature. Some examples are also given to demonstrate the advantage of our results.