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., 2015, Volume 7, Issue 3,Pages <nobr>48

Mathematics

Metric estimates of small denominators in nonlocal boundary value problems

M. M. Symotyuk^a, I. Y. Savka^ba

^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.

UDC: 511.42

Received: 14.06.2013