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Mathematics > Dynamical Systems
Title: A Floquet-Lyapunov Theory for nonautonomous linear periodic differential equations with piecewise constant deviating arguments
(Submitted on 1 Mar 2024 (v1), last revised 4 Apr 2024 (this version, v4))
Abstract: We present a version of the classical Floquet-Lyapunov theorem for $\omega-$periodic nonautonomous linear (impulsive and non-impulsive) differential equations with piecewise constant arguments of generalized type (in short, IDEPCAG or DEPCAG). We have proven that the nonautonomous linear IDEPCAG is kinematically similar to an autonomous linear ordinary differential equation. We have also provided some examples to demonstrate the effectiveness of our results.
Submission history
From: Ricardo Torres [view email][v1] Fri, 1 Mar 2024 16:47:03 GMT (448kb,D)
[v2] Mon, 4 Mar 2024 16:14:27 GMT (448kb,D)
[v3] Sun, 31 Mar 2024 12:50:42 GMT (448kb,D)
[v4] Thu, 4 Apr 2024 19:08:47 GMT (448kb,D)
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