2017
Том 69
№ 6

All Issues

On Periodic Solutions of One Class of Systems of Differential Equations

Korol' I. I.

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Abstract

We study the problem of the existence of periodic solutions of two-dimensional linear inhomogeneous periodic systems of differential equations for which the corresponding homogeneous system is Hamiltonian. We propose a new numerical-analytic algorithm for the investigation of the problem of the existence of periodic solutions of two-dimensional nonlinear differential systems with Hamiltonian linear part and their construction. The results obtained are generalized to systems of higher orders.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 4, pp 583-599.

Citation Example: Korol' I. I. On Periodic Solutions of One Class of Systems of Differential Equations // Ukr. Mat. Zh. - 2005. - 57, № 4. - pp. 483–495.

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