Abstract
For a class of second-order semilinear differential equations, we prove the theorems on oscillatory or nonoscillatory nature of all proper solutions. These theorems are analogs of the well-known Kneser theorems for linear differential equations.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 458–466, April, 2007.
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Evtukhov, V.M., Vasil’eva, N.S. Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations. Ukr Math J 59, 513–522 (2007). https://doi.org/10.1007/s11253-007-0032-1
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DOI: https://doi.org/10.1007/s11253-007-0032-1