Limit theorems for general one-dimensional boundary-value problems
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| 008 | 210128e20150101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-014-2205-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-014-2205-4 | ||
| 245 | 0 | 0 | |a Limit theorems for general one-dimensional boundary-value problems |h [Elektronische Daten] |c [Vladimir Mikhailets, Ganna Chekhanova] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2014 | ||
| 690 | 7 | |a General boundary-value problem |2 nationallicence | |
| 690 | 7 | |a continuity with respect to parameter |2 nationallicence | |
| 690 | 7 | |a uniform convergence together with derivatives |2 nationallicence | |
| 690 | 7 | |a convergence of Green matrices |2 nationallicence | |
| 700 | 1 | |a Mikhailets |D Vladimir |u 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 |4 aut | |
| 700 | 1 | |a Chekhanova |D Ganna |u 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 |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 204/3(2015-01-01), 333-342 |x 1072-3374 |q 204:3<333 |1 2015 |2 204 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-014-2205-4 |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/s10958-014-2205-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mikhailets |D Vladimir |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chekhanova |D Ganna |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 204/3(2015-01-01), 333-342 |x 1072-3374 |q 204:3<333 |1 2015 |2 204 |o 10958 | ||