We establish sufficient conditions for the existence of quasiperiodic solutions of a system of ordinary second-order differential equations with degenerate symmetric matrix of the second derivatives for an arbitrary quasiperiodic inhomogeneity.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 6, pp. 773–783, June, 2010.
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Er’omenko, V.O., Aliluiko, A.M. Quasiperiodic solutions of degenerate linear systems of second-order ordinary differential equations. Ukr Math J 62, 894–906 (2010). https://doi.org/10.1007/s11253-010-0398-3
- Periodic Solution
- Galerkin Method
- Quasiperiodic Solution
- Minimum Root
- Matrix Riccati Equation