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Asymptotics of the Solutions of Second-Order Differential Equations with Regularly and Rapidly Varying Nonlinearities

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We establish conditions for the existence of a class of monotone solutions of the second-order differential equations with regularly and rapidly varying nonlinearities and the asymptotic representations of these solutions… Click to show full abstract

We establish conditions for the existence of a class of monotone solutions of the second-order differential equations with regularly and rapidly varying nonlinearities and the asymptotic representations of these solutions as t ↑ ω (ω ≤ + ∞).

Keywords: solutions second; equations regularly; second order; regularly rapidly; differential equations; order differential

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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