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A Note on The Asymptotic Solution of Second Order Nonlinear Differential Equation

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Abstract

We study the existence of solutions of second-order nonlinear differential equations. It is shown that the second-order nonlinear differential equation \(x^{\prime \prime }=f(t,x,x^{\prime })\) has a positive (and so non-oscillatory) solution asymptotic to the function \(\varphi (t)=t\) at \( \infty \) and satisfies the initial condition \(x(0)=0\).

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Authors and Affiliations

  1. Department of Computer Engineering, Istanbul Esenyurt University, Istanbul, Turkey

    Afgan Aslanov

  2. Mathematics Department, Khazar University, Baku, Azerbaijan

    Afgan Aslanov

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  1. Afgan Aslanov
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Correspondence to Afgan Aslanov.

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Aslanov, A. A Note on The Asymptotic Solution of Second Order Nonlinear Differential Equation. Mediterr. J. Math. 19, 233 (2022). https://doi.org/10.1007/s00009-022-02154-8

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  • DOI: https://doi.org/10.1007/s00009-022-02154-8

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