Overview of Weyl–Titchmarsh Theory for Second Order Sturm–Liouville Equations on Time Scales
نویسندگان
چکیده
In this paper we present an overview of the basic Weyl–Titchmarsh theory for second order Sturm–Liouville equations on time scales. We construct the m(λ)function, the Weyl solution, and the Weyl disk. We justify the terminology “disk” by its geometric properties, show explicitly the coordinates of the center of the disk, and calculate its radius. We show that the dichotomy regarding the squareintegrable solutions known in the continuous time and discrete theory works in the same way for general time scales. AMS Subject Classifications: Primary 34B20. Secondary 34N05, 34B27, 34B24.
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