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Literature cited
A. D. Myshkis, Linear Differential Equations with Lagging Argument [in Russian], Gostekhizdat, Moscow-Leningrad (1951).
G. A. Kamenskii, “On the asymptotic behavior of solutions of second-order linear differential equations with a lägging argument,” Uch. Zap. MGU, Matematika,7 (1954).
S. B. Norkin, Second-Order Differential Equations with a Lagging Argument [in Russian], Nauka, Moscow (1965).
O. M. Odarich and V. M. Shevelo, “On conditions for oscillation of solutions of second-order nonlinear differential equations with lag,” Dopovidi Akad. Nauk URSR, Ser. A, No. 11 (1967).
P. Waltman, “A note on an oscillation criterion for an equation with a functional argument, ” Canad. Math. Bull.,11, 593–595 (1968).
H. Gollwitzer, “On nonlinear oscillations for a second-order delay equation,” J. Math. Anal. Appl.,26, 385–389 (1969).
R, G. Koplatadze, “On the oscillatoriness of solutions of second-order differential equations with a lagging argument, ” Soobshch. Akad. Nauk GruzSSR,60, No. 2 (1970).
J. S. Bradley, “Oscillation theorems for a second-order delay equation, ” J. Diff. Eqs.,8, 397–403 (1970).
F. Burkowski, “Oscillation theorems for a second-order nonlinear functional equation, ” J. Math. Anal. Appl.,33, 258–262 (1971).
V. N. Shevelo, “Some questions of the theory of oscillation of solutions of nonlinear nonautonomous differential equations,” Proceedings of the Fourth Conference on Nonlinear Oscillations, Prague (1968).
V. N. Shevelo, “On the influence of lag on the oscillatoriness of the solutions of higher-order differential equations, ” Proceedings of the Fifth International Conference on Nonlinear Oscillations [in Russian], Izd. Instituta Matematiki AN UkrSSR (1970).
L. É. Él'sgol'ts, Introduction to the Theory of Differential Equations with Deviating Argument [in Russian], Nauka, Moscow (1964).
I. T. Kiguradze, “On the question of the oscillatoriness of solutions of nonlinear differential equations,” Differents. Uravneniya,1, No. 8 (1965).
I. T. Kiguradze, “On the oscillatoriness of solutions of the equation dmu/dtm+a (t)|u|n signu=0,” Matem. Sb.,65 (107), No. 2 (1964).
A. Kartsatos, “Criteria for oscillation of solutions of differential equations of arbitrary order, ” Proc. Japan Acad.,44, No. 7, 599–602 (1968).
J. Mikusinski, “On Fite' s oscillation theorems, ” Colloq. Math.,2, No. 1, 34–39 (1949).
I. Ličko and M. Švec, “La caractere oscillatoire des solutions de l'equation y(n)(t)+ f(t)yα=0, n > 1,” Czechoslovak. Math. J.,4, 481–491 (1963).
G. Ladas, “Oscillation and asymptotic behavior of solutions of differential equations with retarded argument,” J. Diff Eqs.,10, 281–290 (1971).
V. N. Shevelo, “Problems, methods, and fundamental results in the theory of oscillations of solutions of ordinary nonlinear nonautonomous differential equations,” Proceedings of the Second All-Union Congress on Theoretical and Applied Mechanics [in Russian], No. 2, Nauka, Moscow (1965).
J. S. W. Wong, “On second-order nonlinear oscillation, ” Funkcialaj Ekvacioj,11, 207–234 (1970).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 807–813, November–December, 1972.
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Shevelo, V.N., Varekh, N.V. Certain properties of solutions of differential equations with lag. Ukr Math J 24, 647–652 (1972). https://doi.org/10.1007/BF01085415
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DOI: https://doi.org/10.1007/BF01085415