caa a22 4500 605525188 CHVBK 20210128100757.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10958-015-2478-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2478-2 Shulaia D. I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, Tbilisi, Georgia aut On One Two-Dimensional Linear Integral Equation with a Coefficient that has Zeros [Elektronische Daten] [D. Shulaia] In this paper, we study, in the class of H¨older functions, linear two-dimensional integral equations with coefficients t that have zeros in the interval under consideration. Using the theory of singular integral equations, necessary and sufficient conditions for the solvability of these equations under some assumption on their kernels are given. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/6(2015-08-01), 693-705 1072-3374 208:6<693 2015 208 10958 https://doi.org/10.1007/s10958-015-2478-2 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/s10958-015-2478-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shulaia D. I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, Tbilisi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/6(2015-08-01), 693-705 1072-3374 208:6<693 2015 208 10958