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Clear All Modify Search  # Spectral singularities of Klein-Gordon s-wave equations with an integral boundary condition

Acta Mathematica Hungarica
Authors: Elgiz Bairamov and Özkan Karaman

## Abstract

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

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\begin{gathered} y'' + \left[ {\lambda - Q\left( x \right)} \right]^2 y = 0,x \in R_ + = [0,\infty ), \hfill \\ \quad \int\limits_0^\infty {K\left( x \right)y\left( x \right)dx + \alpha y'\left( 0 \right) - \beta y\left( 0 \right) = 0,} \hfill \\ \end{gathered}$$ \end{document}
where Q and K are complex valued functions, KL 2(R +), α,βC with |α|+|β|≠0 and λ is a spectral parameter.

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