Nonlinear Noetherian Boundary-Value Problem in the Case of Parametric Resonance
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2289-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2289-5 | ||
| 100 | 1 | |a Chuiko |D S. |u Donbass State Pedagogic University, 19 General Batyuk Str., 84116, Slavyansk, Ukraine |4 aut | |
| 245 | 1 | 0 | |a Nonlinear Noetherian Boundary-Value Problem in the Case of Parametric Resonance |h [Elektronische Daten] |c [S. Chuiko] |
| 520 | 3 | |a Necessary and sufficient conditions are established for the existence of solutions of the nonlinear Noetherian boundary-value problem for a system of differential equations in the case of parametric resonance. We propose a convergent iterative algorithm for finding approximate solutions of the nonlinear Noetherian boundary-value problem for a system of ordinary differential equations in the case of parametric resonance. As an example, we apply the constructed iterative algorithm to find approximate solutions of the periodic boundary-value problem for the Duffing-type equation with parametric perturbation. The accuracy of the obtained approximate solutions of the periodic boundary-value problem for the Duffing-type equation is controlled by using deviations from the original equation. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/6(2015-03-01), 859-870 |x 1072-3374 |q 205:6<859 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2289-5 |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/s10958-015-2289-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Chuiko |D S. |u Donbass State Pedagogic University, 19 General Batyuk Str., 84116, Slavyansk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/6(2015-03-01), 859-870 |x 1072-3374 |q 205:6<859 |1 2015 |2 205 |o 10958 | ||