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Oscillation criteria for certain forced second-order nonlinear differential equations with delayed argument

✍ Scribed by D. Çakmak; A. Tiryaki

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
400 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

Some new sufficient conditions for the oscillation criteria are given for the forced second-order nonlinear differential equations with delayed argument in the form,

• " (t) + q (t) f (z (~-(t))) = e (t)

The results are based on the information only on a sequence of subintervals of [to, oc) rather than on the whole half-line. Our methodology m somewhat different from that of previous authors Our results generalize and extend some earlier results of Sun [1]. Furthermore, we are able to answer the question in recent paper [1] for the oscillation of bounded solutions of the above equation when f(x) = ]x[:~sgnx, 0 < A < 1

📜 SIMILAR VOLUMES

Necessary and Sufficient Conditions for
Necessary and Sufficient Conditions for the Oscillation of Forced Nonlinear Second Order Differential Equations with Delayed Argument
✍ A.H. Nasr 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 150 KB

For a special class of the external force g t and nonnegative potential a t , we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Ž .

Oscillation criteria for forced second o
Oscillation criteria for forced second order differential equations with mixed nonlinearities
✍ Zhaowen Zheng; Xiao Wang; Hongmei Han 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 438 KB

By using Riccati transformation, new oscillation criteria are given for forced second order differential equations with mixed nonlinearities, which improve and generalize results in the literature. An (α + 1)-degree functional is involved for oscillation, which is widely used in variational theories