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Missouri University of Science and Technology
<p>Differential equations<br />Floquet theory<br />Hamiltonian systems<br />Periodic functions<br />q-series</p>
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Periodic Q-Difference Equations, Rotchana Chieochan
Periodic Q-Difference Equations, Rotchana Chieochan
Doctoral Dissertations
"The concept of periodic functions defined on the real numbers or on the integers is a classical topic and has been studied intensively, yielding numerous applications in every kind of science. It is of importance that the real numbers and the integers are closed with respect to addition. However, for a number q > 1, the so-called q-time scale, i.e., the set of nonnegative integer powers of q, is not closed with respect to addition, and therefore it was not possible to define periodic functions on the q-time scale in an obvious way. In this thesis, this important open problem has …