Periodic solutions of linear systems with asymmetric variable rank matrix in the derivatives https://doi.org/10.33108/visnyk_tntu2019.04.112
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Abstract
The effective sufficient conditions for a positive definite symmetrization of a differential operator based on a system of two linear first order ordinary differential equations with an asymmetric variable rank matrix in the derivatives were established. According to these conditions, the existence of a periodic solution for the arbitrary periodic inhomogeneity and the Galerkin iterative method of its approximate construction was confirmed. The approach for the research of numbers of the equations, where , was described.
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