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Asymptotic Representations for the Solutions of Nonautonomous Ordinary Differential Equations
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-05-01 , DOI: 10.1007/s11253-020-01753-6 V. M. Evtukhov , A.V. Droggina
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-05-01 , DOI: 10.1007/s11253-020-01753-6 V. M. Evtukhov , A.V. Droggina
The conditions of existence and asymptotic representations as t ↑ 𝜔 (𝜔 ≤ + ∞) are obtained for one class of solutions of nonautonomous differential equations of the n th order asymptotically close, in a certain sense, to equations with regularly varying nonlinearities.
中文翻译:
非自治常微分方程解的渐近表示
存在条件和渐近表示为 t ↑ 𝜔 (𝜔 ≤ + ∞) 是为一类 n 阶非自治微分方程的解获得的,在某种意义上,渐近接近于具有规则变化的非线性方程。
更新日期:2020-05-01
中文翻译:
非自治常微分方程解的渐近表示
存在条件和渐近表示为 t ↑ 𝜔 (𝜔 ≤ + ∞) 是为一类 n 阶非自治微分方程的解获得的,在某种意义上,渐近接近于具有规则变化的非线性方程。