Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials

Tzong-Mo Tsai, Hsiao-Fan Liu, Sergey Buterin +2

The paper deals with Sturm-Liouville-type operators with frozen argument of the form $\ell y:=-y^{\prime \prime }(x)+q(x)y(a),$ $y^{(\alpha )}(0)=y^{(\beta )}(1)=0,$ where $\alpha ,\beta \in \{0,1\}$ and $a\in [0,1]$ is…