caa a22 4500 605525501 CHVBK 20210128100759.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10958-015-2470-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2470-x Reduction of the Fredholm Boundary-Value Problem to the Critical Case of the First Order [Elektronische Daten] [S. Chuiko, E. Chuiko, I. Boichuk] We establish necessary and sufficient conditions for the existence of solutions and propose an iterative scheme for the determination of solutions of the Fredholm weakly nonlinear boundary-value problem for a system of ordinary differential equations in the case of multiple roots of the equation for generating constants. Springer Science+Business Media New York, 2015 Chuiko S. Donbas State Pedagogic University Ukraine, General Batyuk Str., 19, 84116, Slavyansk, Donetskaya Oblast, Ukraine aut Chuiko E. Donbas State Pedagogic University Ukraine, General Batyuk Str., 19, 84116, Slavyansk, Donetskaya Oblast, Ukraine aut Boichuk I. Paton Institute of Electric Welding, Ukrainian Academy of Sciences Ukraine, Bozhenko Str., 11, 03680, Kiev, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/5(2015-08-01), 607-619 1072-3374 208:5<607 2015 208 10958 https://doi.org/10.1007/s10958-015-2470-x 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/s10958-015-2470-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chuiko S. Donbas State Pedagogic University Ukraine, General Batyuk Str., 19, 84116, Slavyansk, Donetskaya Oblast, Ukraine aut NATIONALLICENCE 700 1- Chuiko E. Donbas State Pedagogic University Ukraine, General Batyuk Str., 19, 84116, Slavyansk, Donetskaya Oblast, Ukraine aut NATIONALLICENCE 700 1- Boichuk I. Paton Institute of Electric Welding, Ukrainian Academy of Sciences Ukraine, Bozhenko Str., 11, 03680, Kiev, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/5(2015-08-01), 607-619 1072-3374 208:5<607 2015 208 10958