caa a22 4500 605524874 CHVBK 20210128100756.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10958-014-2205-4 doi (NATIONALLICENCE)springer-10.1007/s10958-014-2205-4 Limit theorems for general one-dimensional boundary-value problems [Elektronische Daten] [Vladimir Mikhailets, Ganna Chekhanova] We investigate parameter-dependent general inhomogeneous boundary-value problems for systems of linear differential equations, of order n ∈ N, given on a finite interval. We find sufficient conditions under which the solutions to the problems together with their derivatives up to order n − 1 are continuous in the uniform norm with respect to the parameter. We also present sufficient conditions under which the Green matrices corresponding to these problems converge uniformly in the parameter. Springer Science+Business Media New York, 2014 General boundary-value problem nationallicence continuity with respect to parameter nationallicence uniform convergence together with derivatives nationallicence convergence of Green matrices nationallicence Mikhailets Vladimir Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev 01601, National Technical University of Ukraine "Kyiv Polytechnic Institute”, 37, Prospect Peremohy, 03056, Kyiv, Ukraine aut Chekhanova Ganna Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev 01601, National Technical University of Ukraine "Kyiv Polytechnic Institute”, 37, Prospect Peremohy, 03056, Kyiv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/3(2015-01-01), 333-342 1072-3374 204:3<333 2015 204 10958 https://doi.org/10.1007/s10958-014-2205-4 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/s10958-014-2205-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mikhailets Vladimir Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev 01601, National Technical University of Ukraine "Kyiv Polytechnic Institute”, 37, Prospect Peremohy, 03056, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Chekhanova Ganna Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev 01601, National Technical University of Ukraine "Kyiv Polytechnic Institute”, 37, Prospect Peremohy, 03056, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/3(2015-01-01), 333-342 1072-3374 204:3<333 2015 204 10958