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

MSC:
34K99Functional-differential equations
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References:
[1] Coles, W. J.: A simple proof of a well-known oscillation theorem. Proc. amer. Math. soc. 19, 507 (1968) · Zbl 0155.12802
[2] Coles, W. J.: An oscillation criterion for second-order linear differential equations. Proc. amer. Math. soc. 19, 755-759 (1968) · Zbl 0172.11702
[3] El’sgol’ts, L. E.: Introduction to the theory of differential equations with deviating arguments. (1966)
[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] H. E. Gollwitzer, Non-oscillation theorems for a non-linear differential equation, to appear. · Zbl 0215.44301
[6] H. 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. Proc. amer. Math. soc. 22, 485-488 (1969) · 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) · 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