On the existence of an eigenvalue below the essential spectrum
نویسندگان
چکیده
In this paper we present a new method for proving the existence of an eigenvalue below the essential spectrum for Sturm-Liouville operators with coefficients which are L1 perturbations of periodic functions. This method combines operator theory and “standard” numerical analysis with interval arithmetic analysis. We illustrate the method by showing that the SturmLiouville problem (SLP) consisting of the equation
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