On Asymptotics of Solutions of Nonlinear Differential Equations of the Second Order |
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Authors: | L A Kirillova |
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Institution: | (1) Odessa Economic University, Odessa, Ukraine |
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Abstract: | We study the problem of asymptotics of unbounded solutions of differential equations of the form y″ = α0
p(t)ϕ(y), where α0 ∈ {−1, 1}, p: a, ω→]0, +∞, −∞ < a < ω ≤ +∞, is a continuous function, and ϕ: y
0, +∞→]0, +∞ is a twice continuously differentiable function close to a power function in a certain sense.__________Translated from Neliniini Kolyvannya, Vol. 8, No. 1, pp. 18–28, January–March, 2005. |
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