几类脉冲微分系统的稳定性与振动性.pdf

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5、âå!a¨!†ÿ©AbstractAbstractInthispaper,wemainlydiscussthestabilityandoscillationofseveralkindsofimpulsivedi↵erentialsystems.Therearefivechaptersinthispaper.Thefirstchapteristheintroduction.Itbrieflyintroducesthestabilityandtheresearchbackgroundofthevibrationhistory,theresearchstatus,preparato

6、ryknowledgeandtheresearchworkinthispaper.Inthesecondchapter,thestabilityofaclassofsecondorderlinearimpulsivedi↵erentialsystemsisdiscussed,andsomesucientandnecessaryconditionsforthestabilityofthesystemareobtained.Inthethirdchapter,theoscillationofthesecondorderimpulsivedi↵erentialsystemi

7、sdiscussed,andtheRiccatitransformisusedtotransformthesystemintoacorrespondingcasewithoutpulse.Inthefourthchapter,thevibrationalpropertiesofthesecondorderimpulsivedelaydi↵erentialsystemswithnoforcingtermsarediscussed,andsomesucientconditionsareestablished.Inthefifthchapter,wemainlydiscuss

8、theoscillationofaclassofImpulsiveDelayDi↵erentialSystemswithforcingterm.Wegettheoscillationresultsofthesystem.Finally,wegiveanexampletoillustratetheapplicationoftheresults.Keywords:Impulsivedi↵erentialequation;Impulsivedelaydi↵erentialequa-tion;stability;Pulsedisturbance;