zbMATH — the first resource for mathematics

Quadratic systems with a linear reflecting function. (English. Russian original) Zbl 1180.34046
Differ. Equ. 45, No. 2, 271-273 (2009); translation from Differ. Uravn. 45, No. 2, 263-265 (2009).
Summary: We construct a set of nonautonomous differential systems with quadratic right-hand side and with a linear reflecting function. We also construct a set of systems whose reflecting function coincides with that of a linear autonomous system.

34C99 Qualitative theory for ordinary differential equations
Full Text: DOI
[1] Mironenko, V.I., Otrazhayushchaya funktsiya i issledovanie mnogomernykh differentsial’nykh sistem (Reflecting Function and Investigation of Multidimensional Differential Systems), Gomel, 2004. · Zbl 1330.34012
[2] Mironenko, V.V., Time-Symmetry-Preserving Perturbations of Differential Systems, Differ. Uravn., 2004, vol. 40, no. 10, pp. 1325–1332. · Zbl 1087.34521
[3] Krasnosel’skii, M.A., Operator sdviga po traektoriyam differentsial’nykh uravnenii (Operator of Shift Along Trajectories of Differential Equations), Moscow: Nauka, 1966.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.