Metric estimates of small denominators in nonlocal boundary value problems
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 3, pp. 48-53
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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.
@article{VYURM_2015_7_3_a6,
author = {M. M. Symotyuk and I. Y. Savka},
title = {Metric estimates of small denominators in nonlocal boundary value problems},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {48--53},
publisher = {mathdoc},
volume = {7},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a6/}
}
TY - JOUR AU - M. M. Symotyuk AU - I. Y. Savka TI - Metric estimates of small denominators in nonlocal boundary value problems JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2015 SP - 48 EP - 53 VL - 7 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a6/ LA - ru ID - VYURM_2015_7_3_a6 ER -
%0 Journal Article %A M. M. Symotyuk %A I. Y. Savka %T Metric estimates of small denominators in nonlocal boundary value problems %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2015 %P 48-53 %V 7 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a6/ %G ru %F VYURM_2015_7_3_a6
M. M. Symotyuk; I. Y. Savka. Metric estimates of small denominators in nonlocal boundary value problems. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 3, pp. 48-53. http://geodesic.mathdoc.fr/item/VYURM_2015_7_3_a6/