Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation
✍ Scribed by Jaroš, Jaroslav; Takaŝi, Kusano; Tanigawa, Tomoyuki
- Book ID
- 118764129
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 194 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
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 + a
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