Erratum to my paper: On the “Poincaré-Lyapunov”-like systems of three differential equations. (English) Zbl 0714.34064

A theorem in the above mentioned paper [ibid. 85, 165-180 (1985; Zbl 0639.34041)] is corrected.


34C25 Periodic solutions to ordinary differential equations


Zbl 0639.34041
Full Text: EuDML


[1] Andres J.: On the ”Poincar0-Lyapunov” - like systems of three differential equations. Acta UPO 85, Math. 25 (1986), 165-180. · Zbl 0639.34041
[2] Bobrowski D.: On oscillatory and nonoscillatory solutions of certain systems of three ordinary differential equations. Poznań.towarz.przyaciól nauk, wydz. nauk.techn., prace komisji nauk podst.stos., tom II, zeszyt 2 (another information has been missed in the accessible reprint)
[3] Dao N.V.: Nonlinear oscillations of third order systems. Proceed. ICNO VIII, Vol. I (Prague 1978), Academia, Praha 1979, 517-522.
[4] Tezin A.M.: Conditions for the existence of cycles of three - dimensional autonomous systems. Stud.Diff. Eqns,Gos.Ped.Inst., Kuibyshev 1982, 32-40
[5] Polivenko V.K., Berkasinova S.N.: Stability in the large of a nonlinear system of third orded differential equations. Diff.and Integ.Eqns and Their Appl., Kalmytsk Gos.Univ., Elista 1983, 93-98 · Zbl 0575.34040
[6] Wang L., Wang M.-Q.: On the construction of globally asymptotically stable Lyapunov’s functions of a type of nonlinear third-order systems. Acta Math.Appl.Sin. 6, 3 (1983), 309-323 · Zbl 0517.34042
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