Simeonov, P. S.; Bainov, D. D. Orbital stability of periodic solutions of autonomous systems with impulse effect. (English) Zbl 0669.34044 Int. J. Syst. Sci. 19, No. 12, 2561-2585 (1988). Systems of autonomous ordinary differential equations with impulses are considered. The authors assume the existence of a periodic solution and study its orbital stability. They give a sufficient condition involving the variational equation. Reviewer: A.Bacciotti Cited in 72 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:autonomous ordinary differential equations with impulses; orbital stability PDF BibTeX XML Cite \textit{P. S. Simeonov} and \textit{D. D. Bainov}, Int. J. Syst. Sci. 19, No. 12, 2561--2585 (1988; Zbl 0669.34044) Full Text: DOI OpenURL References: [1] ANDRONOV A. A., J. Exp. Theor. Physics 3 (1933) [2] ANDRONOV, A. A., WITT, A. A. and HAIKIN, S. E. 1981.Oscillation Theory, 468Moscow: Nauka. in Russian [3] BUTENIN, N. V., NIEMARK, YU., I. and FUFAEV, N. A. 1976.Introduction to the Theory of Nonlinear Oscillations, 384Moscow: Nauka. in Russian [4] DEMIDOVICH, B. P. 1967.Lectures on the Mathematical Theory of Stability, 472Moscow: Nauka. in Russian [5] MIL’MAN V. D., Siberian Math. J. 1 pp 233– (1960) [6] MYSHKIS A. D., Mathematicheskij Sbornik 74 pp 202– (1967) [7] SAMOILENKO A. M., Differencial’nye Uravn. 11 pp 1981– (1977) [8] DOI: 10.1016/0167-6911(83)90029-4 · Zbl 0529.93050 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.