Oscillation of Differential Equations with Deviating Arguments

1.IntroductionConsiderthefirstorderdifferentialequationwithdeviatingargumentoftheformX'(t) p(t)x(T(t))~0,t2to(1)where,p,reC([t,' co),R),tim,-ocr(t)~~andrisnondecreasingon[t,,co))'TheoscillatorybehaviourofsolutionsofEq.(1)hasbeeninvestigatedbythanyauthors.WerefertothemonographsbyErbe,KongandZhang[fi,andthepapers[2--6j.Mostoftheknownresults,however,dealwithequationswithretardedoradvancedarguments.ConsiderablylessisknownaboutthebehaviourofthesolutionsofEq.(1)whenitisofmixedtype,thatis,thedevi…     

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