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
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[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.
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