We study the relationship between the second-order nonlinear ordinary differential equations and the Hardy inequality in grand Lebesgue spaces. In particular, we give a characterization of the Hardy inequality by nonlinear ordinary differential equations in grand Lebesgue spaces.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 8, pp. 1011–1019, August, 2022. Ukrainian https://doi.org/10.37863/umzh.v74i8.6146.
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Bandaliyev, R.A., Safarova, K.H. On the Solvability of Nonlinear Ordinary Differential Equations in Grand Lebesgue Spaces. Ukr Math J 74, 1155–1164 (2023). https://doi.org/10.1007/s11253-023-02127-4
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DOI: https://doi.org/10.1007/s11253-023-02127-4