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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 3, Pages 48–53
(Mi vyurm265)
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Mathematics
Metric estimates of small denominators in nonlocal boundary value problems
M. M. Symotyuka, I. Y. Savkaba a Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov, Ukraine
b Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, Ukraine
Abstract:
The metric estimates of small denominators at the analysis of nonlocal boundary value problems for a parabolic-hyperbolic equation are established. We use the metric approach to prove these estimates.
Keywords:
equation of mixed type; nonlocal boundary value problem; Borel–Cantelli lemma; Lebesgue measure.
Received: 14.06.2013
Citation:
M. M. Symotyuk, I. Y. Savka, “Metric estimates of small denominators in nonlocal boundary value problems”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 48–53
Linking options:
https://www.mathnet.ru/eng/vyurm265 https://www.mathnet.ru/eng/vyurm/v7/i3/p48
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