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On the qualitative behaviors of solutions of third-order nonlinear functional differential equations

✍ Scribed by Mustafa Fahri Aktaş; Devrim Çakmak; Aydın Tiryaki

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
263 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

The third-order nonlinear functional differential equations of the form

are considered. We present some new oscillatory and asymptotic behavior of solutions of this equation by modifying a method given for second-order differential equations. Our results are applicable to nonlinear functional differential equations of the above form.

Several examples are also given to illustrate the importance of our results.

📜 SIMILAR VOLUMES

On asymptotic behaviors of solutions of
On asymptotic behaviors of solutions of “almost linear” and essential nonlinear functional differential equations
✍ Roman Koplatadze 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 225 KB

In the paper the following differential equation We say that the equation is ''almost linear'' if the condition lim t→+∞ µ(t) = 1 is fulfilled, while if there exists λ ∈ (0, 1) (λ ∈ (1, +∞)) such that µ(t) ≤ λ (µ(t) ≥ λ), then we say that the equation is an essentially nonlinear differential equati