Symotyuk, M. M.; Savka, I. Y. Metric estimates of small denominators in nonlocal boundary value problems. (Russian. English summary) Zbl 1336.35255 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 7, No. 3, 48-53 (2015). Summary: 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. Cited in 1 Document MSC: 35M12 Boundary value problems for PDEs of mixed type 35B45 A priori estimates in context of PDEs Keywords:Borel-Cantelli lemma; parabolic-hyperbolic equation PDF BibTeX XML Cite \textit{M. M. Symotyuk} and \textit{I. Y. Savka}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 7, No. 3, 48--53 (2015; Zbl 1336.35255) Full Text: MNR