Lyapunov Reducibility of Infinitesimal Perturbations of Equations and Systems
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2557-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2557-4 | ||
| 100 | 1 | |a Erchenko |D A. |u Pennsylvania State University, University Park, 16801, State College, PA, United States |4 aut | |
| 245 | 1 | 0 | |a Lyapunov Reducibility of Infinitesimal Perturbations of Equations and Systems |h [Elektronische Daten] |c [A. Erchenko] |
| 520 | 3 | |a We consider two classes of infinitesimally small perturbations of a given linear differential equation with continuous, possibly unbounded, coefficients. The first class consists of its perturbations in the space of all linear systems and the second class consists of perturbations with somewhat slower decay but in a narrower space, namely the space of systems corresponding to single equations. It is shown that the values of a Lyapunov invariant functional on the first class belong to the range of the same functional on the second class. For systems with bounded coefficients, it is shown that the said sets coincide. | |
| 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 210/2(2015-10-01), 200-209 |x 1072-3374 |q 210:2<200 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2557-4 |q text/html |z Onlinezugriff via DOI |
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| 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/s10958-015-2557-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Erchenko |D A. |u Pennsylvania State University, University Park, 16801, State College, PA, United States |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/2(2015-10-01), 200-209 |x 1072-3374 |q 210:2<200 |1 2015 |2 210 |o 10958 | ||