Kulev, Georgi; Bainov, Drumi Application of Lyapunov’s direct method to the investigation of the global stability of the solutions of systems with impulse effect. (English) Zbl 0634.34040 Appl. Anal. 26, No. 4, 255-270 (1988). Summary: By means of piecewise continuous functions which are a generalization of Lyapunov’s functions some sufficient conditions for stability of the trivial solution of systems with impulses are proved. Cited in 9 Documents MSC: 34D20 Stability of solutions to ordinary differential equations Keywords:Lyapunov’s functions; systems with impulses PDF BibTeX XML Cite \textit{G. Kulev} and \textit{D. Bainov}, Appl. Anal. 26, No. 4, 255--270 (1988; Zbl 0634.34040) Full Text: DOI References: [1] Leela S., Pacific J. Math. 55 pp 489– (1974) · Zbl 0319.34071 [2] DOI: 10.1016/0362-546X(77)90025-6 · Zbl 0383.34036 [3] Pavlidis T., IEEE Trans. AC-12 1 pp 43– (1967) [4] DOI: 10.1017/S0004972700023054 · Zbl 0341.34035 [5] Mil’man V.D., Sibirskii Math. J 1 pp 233– (1960) [6] Samoilenko A.M., Diff. Uravn 13 pp 1981– (1977) [7] Gurgula S.I., Ukr. Math. J 13 pp 100– (1982) [8] Simeonov P.S., Rend. Sem. Math. Univers. Politecn. Torino 43 pp 303– (1985) [9] Simeonov P.S., Tamkang J. of Math. 16 pp 19– (1985) [10] DOI: 10.1108/eb010016 · Zbl 0638.34044 [11] Rouche N., Stability Theory by Ljapunov’s Direct Method (1977) [12] DOI: 10.1080/00036818408839511 · Zbl 0596.34016 [13] Yoshizawa T., The Math. Soc. of Japan (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.