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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 3, Pages 48–53 (Mi vyurm265)  

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 511.42
Language: Russian
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
Citation in format AMSBIB
\Bibitem{SymSav15}
\by M.~M.~Symotyuk, I.~Y.~Savka
\paper Metric estimates of small denominators in nonlocal boundary value problems
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 3
\pages 48--53
\mathnet{http://mi.mathnet.ru/vyurm265}
\elib{https://elibrary.ru/item.asp?id=23730240}
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