Computer-Oriented Stability Analysis Based on Recurrent Transformation of Difference Solutions of Ordinary Differential Equations
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605518769 | ||
| 003 | CHVBK | ||
| 005 | 20210128100727.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150501xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10559-015-9733-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9733-x | ||
| 100 | 1 | |a Romm |D Ya |u A. P. Chekhov State Pedagogical Institute, Taganrog, Russia |4 aut | |
| 245 | 1 | 0 | |a Computer-Oriented Stability Analysis Based on Recurrent Transformation of Difference Solutions of Ordinary Differential Equations |h [Elektronische Daten] |c [Ya. Romm] |
| 520 | 3 | |a Criteria for the Lyapunov stability of solutions to systems of ordinary differential equations are presented in the difference, additive, and integral forms. They contain the necessary and sufficient conditions and do not transform functions in the right-hand side of the system. In general, the criteria are intended for computer implementation, and some of them for analytical research. Based on the comparison of the integrands, the stability of some systems of nonlinear equations is analyzed without a priori solutions. The programmed criteria are given for general systems, examples and results of program and numerical experiments are presented. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Lyapunov stability analysis |2 nationallicence | |
| 690 | 7 | |a approximate solution of ordinary differential equations |2 nationallicence | |
| 690 | 7 | |a recurrent transformations of difference solutions |2 nationallicence | |
| 690 | 7 | |a numerical modeling of stability |2 nationallicence | |
| 690 | 7 | |a indications of stability of linear and nonlinear systems |2 nationallicence | |
| 690 | 7 | |a computer analysis of stability |2 nationallicence | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/3(2015-05-01), 416-431 |x 1060-0396 |q 51:3<416 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9733-x |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/s10559-015-9733-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Romm |D Ya |u A. P. Chekhov State Pedagogical Institute, Taganrog, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/3(2015-05-01), 416-431 |x 1060-0396 |q 51:3<416 |1 2015 |2 51 |o 10559 | ||