On Periodic Solutions of One Class of Systems of Differential Equations

  • I. I. Korol'

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.
Published
25.04.2005
How to Cite
Korol’I. I. “On Periodic Solutions of One Class of Systems of Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 4, Apr. 2005, pp. 483–495, http://umj.imath.kiev.ua/index.php/umj/article/view/3615.
Section
Research articles