𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behaviour of solutions of a third-order nonlinear differential equation

✍ Scribed by M. Bartušek; J. Osička

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
98 KB
Volume
34
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

Consider a nonlinear di erential equation y [3] + f(t; y; y [1] ; y [2] ) = 0 in D;

(1)

where i] ; i = 0; 1; 2; 3 is the ith quasiderivative of y deÿned as

(y [i-1] ) ; i= 1; 2; y [3] = (y [2] ) ;

(2) the functions a i : R + → (0; ∞); i = 1; 2 are continuous, a 1 =a 2 has the derivative on R + and f : D → R fulÿls the local Carathà eodory conditions. Throughout the paper the condition * Corresponding author.

📜 SIMILAR VOLUMES

Asymptotic behavior of a third-order non
Asymptotic behavior of a third-order nonlinear differential equation
✍ Chuanxi Qian 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Consider the third-order nonlinear differential equation We obtain sufficient conditions for every solution of the equation to be bounded; we also establish criteria for every solution of the equation to converge to zero.

Asymptotic behaviour of a class of nonli
Asymptotic behaviour of a class of nonlinear functional differential equations of third order
✍ A. Tiryaki; Ş. Yaman 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 246 KB

This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y" + p(t)y' + q(t)F(y(g(t))) = O. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to eithe