A Floquet-Lyapunov Theory for nonautonomous linear periodic differential equations with piecewise constant deviating arguments
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914741896609792 |
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| author | Torres, Ricardo |
| author_facet | Torres, Ricardo |
| contents | We present a version of the classical Floquet-Lyapunov theorem for $ω-$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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Floquet-Lyapunov Theory for nonautonomous linear periodic differential equations with piecewise constant deviating arguments Torres, Ricardo Dynamical Systems Spectral Theory 34A36, 34K11, 34K45, 39A06, 39A21 We present a version of the classical Floquet-Lyapunov theorem for $ω-$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. |
| title | A Floquet-Lyapunov Theory for nonautonomous linear periodic differential equations with piecewise constant deviating arguments |
| topic | Dynamical Systems Spectral Theory 34A36, 34K11, 34K45, 39A06, 39A21 |
| url | https://arxiv.org/abs/2403.00661 |