Sturm-Liouville Problem in Quantum Calculus
Abstract
This paper aims to study the q-analogue of the Sturm Liouville problem and to give an asymptotic behaviour at infinity for its solution '. Additionally, we establish an asymptotic expansion of the q-Bessel function jα for $α >-1/2. We are not in situation to claim that our results are new but they have the advantage to show that the method used by Agranovich and Marchenko remain true.
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