On inverse problems for left-definite discrete Sturm-Liouville equations
نویسندگان
چکیده
منابع مشابه
Left-Definite Sturm-Liouville Problems
Left-definite regular self-adjoint Sturm-Liouville problems with separated and coupled boundary conditions are studied. A characterization is given in terms of right-definite problems, a concrete and “natural” indexing scheme for the eigenvalues is proposed. Pruefer transformation techniques can be used to establish the existence of and to give a characterization for the eigenvalues in the case...
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Numerical solution of inverse Sturm–Liouville problems
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together with appropriate boundary conditions, in the space Lw of functions square integrable with respect to the weight w, i.e., the normsquare of the space is ‖u‖2 = ∫ |u|2w. A basic assumption for this to be possible is that w ≥ 0. In some situations of interest this is not the case, but instead one has p > 0, q ≥ 0. One may then use as a norm-square the integral ∫ (p|u′|2 + q|u|2), and a pr...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2013
ISSN: 1846-3886
DOI: 10.7153/oam-07-02