On One Linear Integral Equation with a Coefficient that has Zeros
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2479-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2479-1 | ||
| 245 | 0 | 0 | |a On One Linear Integral Equation with a Coefficient that has Zeros |h [Elektronische Daten] |c [D. Shulaia, P. Ghurtskaia] |
| 520 | 3 | |a The aim of this paper is to study, in the class of H¨older functions, a linear integral equation with coefficient having two simple zeros in the interval under consideration. Using the theory of singular integral equations, we give the necessary and sufficient conditions for the solvability of this equation under some assumptions on their kernel. Finding a solution is reduced to solving a regular integral equation of the second kind. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Shulaia |D D. |u I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, Tbilisi, Georgia |4 aut | |
| 700 | 1 | |a Ghurtskaia |D P. |u Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/6(2015-08-01), 706-722 |x 1072-3374 |q 208:6<706 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2479-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2479-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shulaia |D D. |u I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ghurtskaia |D P. |u Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/6(2015-08-01), 706-722 |x 1072-3374 |q 208:6<706 |1 2015 |2 208 |o 10958 | ||