Floquet Theory for $q$-Difference Equations
DOI:
https://doi.org/10.5644/SJM.08.2.14Keywords:
$q$-difference equation, time scale, Floquet theoryAbstract
In this paper, we introduce $\omega$-periodic functions in quantum calculus and study the first-order linear $q$-difference vector equation for which its coefficient matrix function is $\omega$-periodic and regressive. Based on the new definition of periodic functions, we establish Floquet theory in quantum calculus.
2000 Mathematics Subject Classification. 39A13, 34N05, 26E70
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References
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