On Solutions of q-Difference Equations in a Neighborhood of Stable Point

Student: Iskhakov Ruslan

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2021

The essence of this thesis is focused on the properties of q-derivative and its connection with standard derivative. We have formulated and proved the theorem on solution existence and uniqueness of q-difference first order equation in neighborhood of point 0. We have considered a special case of q-difference equations of order k. We have found a class of pairs of q-differential operators for which there is a common eigenfunction called the Baker-Akhiezer function.

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