Geodesic
Lyapunov inequality for an ordinary second-order differential equation with a distributed integration operator
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 133-137

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In this paper, we prove an analog of the Lyapunov inequality for the Dirichlet problem for an ordinary differential equation with the continuously distributed integration operator.
Keywords: Lyapunov inequality, Dirichlet problem, operator of continuously distributed integration, Riemann–Liouville fractional integral, Riemann–Liouville fractional derivative. 
@article{INTO_2021_198_a14,
     author = {B. I. Efendiev},
     title = {Lyapunov inequality for an ordinary second-order differential equation with a distributed integration operator},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {133--137},
     publisher = {mathdoc},
     volume = {198},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_198_a14/}
}
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B. I. Efendiev. Lyapunov inequality for an ordinary second-order differential equation with a distributed integration operator. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 133-137. http://geodesic.mathdoc.fr/item/INTO_2021_198_a14/