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; β); i = 1; 2 are continuous, a 1 =a 2 has the derivative on R + a
β¦ LIBER β¦
Asymptotic behavior of a third-order nonlinear differential equation
β 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.
β¦ 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.
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