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Scattering Theory of Impulsive Sturm–Liouville Equation in Quantum Calculus

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Abstract

We consider an impulsive boundary value problem consisting of a quantum difference equation and impulsive boundary conditions. Discussing the Jost solution and scattering function of this problem, we study the properties of scattering function and relations between scattering solutions. Besides, we present an example that informs us about the eigenvalues of a special case of this problem.

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Authors and Affiliations

  1. Department of Mathematics, University of Ankara, Faculty of Science, 06100, Ankara, Turkey

    Yelda Aygar & Elgiz Bairamov

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  1. Yelda Aygar
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  2. Elgiz Bairamov
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Correspondence to Elgiz Bairamov.

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Communicated by Ahmad Izani Md. Ismail.

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Aygar, Y., Bairamov, E. Scattering Theory of Impulsive Sturm–Liouville Equation in Quantum Calculus. Bull. Malays. Math. Sci. Soc. 42, 3247–3259 (2019). https://doi.org/10.1007/s40840-018-0657-2

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  • DOI: https://doi.org/10.1007/s40840-018-0657-2

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