✦ LIBER ✦

Asymptotic behavior of nonoscillatory solutions to -th order nonlinear neutral differential equations

✍ Scribed by Mustafa Hasanbulli; Yuri V. Rogovchenko

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 297 KB
Volume: 69
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.06.025

No coin nor oath required. For personal study only.

✦ Synopsis

For a class of n-th order nonlinear neutral differential equations, sufficient conditions for all nonoscillatory solutions to satisfy lim t→+∞ t 1-n x(t) = a are established. For another class of equations, necessary and sufficient conditions for nonoscillatory solutions to satisfy the above condition are obtained. Our theorems complement and extend recent results reported in the literature.

📜 SIMILAR VOLUMES

Existence of Nonoscillatory Solutions fo

Existence of Nonoscillatory Solutions fornth Order Nonlinear Neutral Functional Differential Equations

✍ Nan-jing Huang; Hong-xu Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 213 KB

In this paper, some existence theorems of nonoscillatory solutions for nth order nonlinear neutral functional differential equations are obtained. Our results extend some known results in recent years.

The asymptotic behavior of nonoscillator

The asymptotic behavior of nonoscillatory solutions of nonlinear neutral type difference equations

✍ E. Thandapani; R. Arul; P.S. Raja 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 393 KB

Asymptotic behavior of nonoscillatory so

Asymptotic behavior of nonoscillatory solutions of nonlinear differential equations with retarded arguments

✍ Ming-Po Chen; Cheh-Chih Yeh; Cheng-Shu Yu 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 188 KB

Existence of bounded nonoscillatory solu

Existence of bounded nonoscillatory solutions of first-order nonlinear neutral delay differential equations

✍ Zeqing Liu; Shin Min Kang; Jeong Sheok Ume 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 385 KB

The aim of this paper is to study the following first-order nonlinear neutral delay differential equation By using the Schauder and Krasnoselskii fixed point theorems, we establish the existence of uncountably many bounded nonoscillatory solutions for the above equation. To dwell upon the importanc

Asymptotic and oscillatory behavior of s

Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations

✍ John R. Graef; Myron K. Grammatikopoulos; Paul W. Spikes 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 430 KB

Existence and asymptotic behavior of sol

Existence and asymptotic behavior of solutions of nonlinear neutral differential equations

✍ Satoshi Tanaka 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 441 KB