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Oscillation theorems for a second-order delay equation. (English) Zbl 0212.12102

##### MSC:
 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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##### References:
 [1] Coles, W.J, A simple proof of a well-known oscillation theorem, (), 507 · Zbl 0155.12802 [2] Coles, W.J, An oscillation criterion for second-order linear differential equations, (), 755-759 · Zbl 0172.11702 [3] El’sgol’ts, L.E, Introduction to the theory of differential equations with deviating arguments, (1966), Holden-Day San Francisco · Zbl 0133.33502 [4] Gollwitzer, H.E, On non-linear oscillations for a second-order delay equation, J. math. anal. appl., 26, 385-389, (1969) · Zbl 0169.11401 [5] {\scH. E. Gollwitzer}, Non-oscillation theorems for a non-linear differential equation, to appear. · Zbl 0215.44301 [6] {\scH. E. Gollwitzer}, Growth estimates for non-oscillatory solutions of a non-linear differential equation, to appear. · Zbl 0215.44301 [7] Heidel, J.W, A non-oscillation theorem for a non-linear second-order differential equation, (), 485-488 · Zbl 0169.42203 [8] Kiguradze, I.T, On conditions for oscillation of solutions of the equation $$u′' + a(t) ¦ u ¦\^{}\{n\} sgn u = 0$$, Časopis Pěst. mat., 87, 492-495, (1962), (Russian) · Zbl 0138.33504 [9] Paul, Waltman, A note on an oscillation criterion for an equation with a functional argument, Canad. math. bull., 11, 593-595, (1968) · Zbl 0186.42205 [10] Willett, D, The oscillatory behavior of the solutions of second-order linear differential equations, Ann. polon. math., 21, 175-194, (1969) · Zbl 0174.13701 [11] Willett, D, Classification of second order linear differential equations with respect to oscillation, Advances in mathematics, 3, 594-623, (1969) · Zbl 0188.40101
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