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A β-Sturm–Liouville problem associated with the general quantum operator
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2021-05-20 , DOI: 10.1080/10236198.2021.1928658 J. L. Cardoso 1
中文翻译:
与一般量子算符相关的 β-Sturm-Liouville 问题
更新日期:2021-06-09
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2021-05-20 , DOI: 10.1080/10236198.2021.1928658 J. L. Cardoso 1
Affiliation
Let be an interval and a strictly increasing and continuous function with a unique fixed point that satisfies for all , where the equality holds only when . The general quantum operator defined by Hamza et al., if and if generalizes the Jackson q-operator and also the Hahn (quantum derivative) operator, . Regarding a β-Sturm–Liouville eigenvalue problem associated with the above operator , we construct the β-Lagrange's identity, show that it is self-adjoint in and exhibit some properties for the corresponding eigenvalues and eigenfunctions.
中文翻译:
与一般量子算符相关的 β-Sturm-Liouville 问题
让 是一个区间和 具有唯一不动点的严格递增连续函数 满足 对所有人 ,其中等式仅在 . Hamza等人定义的一般量子算符。, 如果 和 如果 推广 Jackson q -operator 还有哈恩(量子导数)算子, . 关于与上述算子相关的β -Sturm-Liouville 特征值问题,我们构造β-拉格朗日恒等式,证明它在 并展示相应的特征值和特征函数的一些性质。