Floquet theory for q-difference equations | Zendy

Martin Böhner | Zendy; Rotchana Chieochan | Zendy

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Floquet theory for q-difference equations

Author(s) -

Martin Böhner,

Rotchana Chieochan

Publication year - 2012

Publication title -

sarajevo journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 2233-1964

pISSN - 1840-0655

DOI - 10.5644/sjm.08.2.14

Subject(s) - floquet theory , mathematics , quantum , pure mathematics , time scale calculus , order (exchange) , coefficient matrix , periodic function , matrix (chemical analysis) , mathematical analysis , calculus (dental) , algebra over a field , eigenvalues and eigenvectors , quantum mechanics , multivariable calculus , nonlinear system , physics , medicine , materials science , finance , dentistry , control engineering , engineering , economics , composite material

In this paper, we introduce ω-periodic functions in quantum calculus and study the first-order linear q-difference vector equation for which its coefficient matrix function is ω-periodic and regressive. Based on the new definition of periodic functions, we establish Floquet theory in quantum calculus.

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