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Spectral singularities of Klein-Gordon s-wave equations with an integral boundary condition

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Abstract

We investigate the spectral singularities and the eigenvalues of the boundary value problem

$$\begin{gathered} y'' + \left[ {\lambda - Q\left( x \right)} \right]^2 y = 0,x \in R_ + = [0,\infty ), \hfill \\ \quad \int\limits_0^\infty {K\left( x \right)y\left( x \right)dx + \alpha y'\left( 0 \right) - \beta y\left( 0 \right) = 0,} \hfill \\ \end{gathered}$$

where Q and K are complex valued functions, K∈L 2(R +), α,β∈C with |α|+|β|≠0 and λ is a spectral parameter.

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Authors and Affiliations

  1. Department of Mathematics, Ankara University, 06100, Tandoğan, Ankara, Turkey

    Elgiz Bairamov & Özkan Karaman

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  1. Elgiz Bairamov
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  2. Özkan Karaman
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Bairamov, E., Karaman, Ö. Spectral singularities of Klein-Gordon s-wave equations with an integral boundary condition. Acta Mathematica Hungarica 97, 121–131 (2002). https://doi.org/10.1023/A:1020815113773

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