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Oscillation; nonoscillation; boundary value problem; neutral equations; hyperbolic equations.

References:

[1] K. Gopalsamy, B.S. Lalli and B.G. Zhang: **Oscillation of odd order neutral differential equations**. Czechoslovak Math. J. 42(117) (1992), 313–323. MR 1179502

[2] K. Gopalsamy, S.R. Grace and B.S. Lalli: **Oscillation of even order neutral differential equations**. Indian J. Math. 35 (1993), 9–25. MR 1249639

[3] I. Györi and G. Ladas: **“Oscillation Theory of Delay-Differential Equations”**. Clarendon Press, Oxford, 1991. MR 1168471

[4] I.T. Kiguradze: **On the question of variability of solutions of nonlinear differential equations**. Differentsial’nye Uravneniya 1 (1965), 995–1006; Translation: Differential Equations 1 (1965), 773–782. MR 0194689

[5] G.S. Ladde, V. Lakshmikantham and B.G. Zhang: **“Oscillation Theory of Differential Equations with Deviating Arguments”**. Marcel Dekker, INC, New York, 1987. MR 1017244

[6] N. Parhi and P.K. Mohanty: **Oscillations of neutral differential equations of higher order**. Bull. Inst. Math. Acad. Sinica 24 (1996). MR 1398241

[7] C. Yuanji: **Oscillation in nonautonomous scalar differential equations with deviating arguments**. Proc. Amer. Math. Soc. 110 (1990), 711–719. DOI 10.2307/2047912 | MR 1023349 | Zbl 0736.34060

[8] B.G. Zhang and K. Gopalsamy: **Oscillations and nonoscillations in higher order neutral equations**. J. Math. Phys. Sci. 25 (1991), 152–165. MR 1135484