2017
Том 69
№ 7

All Issues

Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations

Evtukhov V. M., Vasileva N. S.

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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.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 513-522.

Citation Example: Evtukhov V. M., Vasileva N. S. Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 458–466.

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