B. I. Efendiev, “Lyapunov inequality for an ordinary second-order differential equation with a distributed integration operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021, Volume 198,Pages <nobr>133

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Lyapunov inequality for an ordinary second-order differential equation with a distributed integration operator

B. I. Efendiev

Institute of Applied Mathematics and Automation, Nalchik

Abstract: 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.

UDC: 517.925.4

MSC: 34B05

DOI: 10.36535/0233-6723-2021-198-133-137