Abstract
We introduce the concept of stability of solutions of a system of linear differential equations with an identically degenerate matrix as the coefficient of the derivative. We find necessary and sufficient conditions for the stability of such systems. We generalize the Floquet–Lyapunov theory to systems of this type with periodic coefficients.
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Akymenko, A.M. Stability of Solutions of a Degenerate Linear System of Differential Equations. Nonlinear Oscillations 5, 430–438 (2002). https://doi.org/10.1023/A:1022830002531
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DOI: https://doi.org/10.1023/A:1022830002531