Ukr. Mat. Zh. - 2018. - 70, № 2. - pp. 255-279
Periodic solutions are studied for second-order differential equations with generalized forcing. Analytical bifurcation results are derived with application to forced harmonic and Duffing oscillators.
Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 58-69
We represent a solution of a nonhomogeneous second-order differential equation with two delays using matrix functions under the assumption that the linear parts are given by permutable matrices.