Metric Estimates of Small Denominators in Nonlocal Boundary Value Problems
Authors
Mikhail Mikhailovich Symotyuk
Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov
Ivan Yaroslavovich Savka
Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov, Ukraine; Assistant, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk
Keywords:
equation of mixed type, nonlocal boundary value problem, Borel–Cantelli lemma, Lebesgue measure
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.
Author Biographies
Mikhail Mikhailovich Symotyuk, Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov
Senior Staff Scientist
Ivan Yaroslavovich Savka, Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov, Ukraine; Assistant, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk
