Abstract
Conditions for the oscillation of all solutions and for the existence of nonoscillatory solutions with polynomial growth at infinity are given for the system of differential-functional equations of neutral type
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A. F. Ivanov and T. Kusano, “Oscillations of solutions of a class of first-order functional-differential equations of neutral type,” Ukr. Mat. Zh.,41, No. 10, 1370–1375 (1974).
P. Marusiak, “Oscillations of solutions of nonlinear delay differential equations,” Mat. Cas., No. 4, 371–380 (1974).
J. Ruan, “Types and criteria of nonoscillatory solutions for second order linear neutral differential difference equations,” Chinese Ann. Math., Ser. A,8, 114–124 (1987).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 8, pp. 1044–1049, August, 1992.
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Ivanov, A.F., Marusiak, P. On the oscillation and asymptotic behavior of the solutions of a certain system of differential-functional equations of neutral type. Ukr Math J 44, 945–949 (1992). https://doi.org/10.1007/BF01057113
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DOI: https://doi.org/10.1007/BF01057113