𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behavior of a third-order nonlinear differential equation

✍ Scribed by Chuanxi Qian


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
118 KB
Volume
284
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


Asymptotic behaviour of solutions of a t
✍ M. BartuΕ‘ek; J. Osička πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 98 KB

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 deΓΏned as (y [i-1] ) ; i= 1; 2; y [3] = (y [2] ) ; (2) the functions a i : R + β†’ (0; ∞); i = 1; 2 are continuous, a 1 =a 2 has the derivative on R + a

Asymptotic behaviour of a class of nonli
✍ A. Tiryaki; Ş. Yaman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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