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MATHEMATICS
Analogue of Lyapunov's inequality for the second-order ordinary differential equation with continuously distributed differentiation operator
B. I. Efendiev Institute of Applied Mathematics and Automation, Nalchik
Abstract:
For an ordinary second-order differential equation with an operator of continuously distributed differentiation, an analogue of the Lyapunov inequality of the Dirichlet problem is proved.
Keywords:
fractional Riemann-Liouville integral, fractional Riemann-Liouville derivative, fractional Gerasimov-Caputo derivative, operator of continuously distributed differentiation, Dirichlet problem, Lyapunov inequality.
Citation:
B. I. Efendiev, “Analogue of Lyapunov's inequality for the second-order ordinary differential equation with continuously distributed differentiation operator”, Reports of AIAS, 20:4 (2020), 19–24
Linking options:
https://www.mathnet.ru/eng/aman4 https://www.mathnet.ru/eng/aman/v20/i4/p19
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Statistics & downloads: |
Abstract page: | 43 | Full-text PDF : | 7 | References: | 16 |
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