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• W853878350 abstract "Abstract. In this paper, we establish some new oscillation criteria for a second-orderdelay dynamic equationu 44 (t) + p(t)u(τ(t)) = 0on a time scale T. The results can be applied on differential equations when T = R, delaydifference equations when T = N and for delay q−difference equations when T =q N forq > 1. 1. IntroductionIn the recent years, the theory of time scales has received a lot of attentionwhich was introduced by Stefan Hilger in his Ph.D. thesis in1988 in order to unifycontinuous and discrete analysis (see [12]). In fact there has been much activitiesconcerning the oscillation and nonoscillation of solutions of dynamic equations ontime scales (or measure chains). We refer the reader to a book on the subject oftime scales, by Bohner and Peterson [8] which summarizes and organizes much oftime scales calculus, see also the book by Bohner and Peterson [9] for advances indynamic equations on time scales. The problem of establishing sufficient conditionsto ensure that all solutions of certain classes of second order dynamic equations areoscillatory has been studied by a number of authors [1], [2], [5]-[7], [14], [17]-[20].Erbe and Peterson [10] consider the second order dynamic equation without delay(1.1) (r(t)y" @default.
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• W853878350 date "2007-09-01" @default.
• W853878350 modified "2023-09-24" @default.
• W853878350 title "Oscillation of Linear Second Order Delay Dynamic Equations on Time Scales" @default.
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