caa a22 4500 605525269 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2449-7 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2449-7 Nonlocal Parabolic Boundary-Value Problems with Singularities [Elektronische Daten] [І. Pukal's'kyi, I. Isaryuk] In Hölder spaces with power weights, we consider the first boundary-value problem and the unilateral boundary-value problem with nonlocal condition in the time variable for a linear differential equation with power singularities of any order in the coordinate planes. We find the integral transform and establish estimates for the solutions of the posed problems in the corresponding spaces. Springer Science+Business Media New York, 2015 Pukal's'kyi І. Fed'kovych Chernivtsi University, Chernivtsi, Ukraine aut Isaryuk I. Fed'kovych Chernivtsi University, Chernivtsi, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 327-343 1072-3374 208:3<327 2015 208 10958 https://doi.org/10.1007/s10958-015-2449-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2449-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pukal's'kyi І. Fed'kovych Chernivtsi University, Chernivtsi, Ukraine aut NATIONALLICENCE 700 1- Isaryuk I. Fed'kovych Chernivtsi University, Chernivtsi, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 327-343 1072-3374 208:3<327 2015 208 10958