Spectral theory of higher order difference operators
β Scribed by Behncke, Horst; Nyamwala, Fredrick Oluoch
- Book ID
- 121406030
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 431 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1023-6198
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π SIMILAR VOLUMES
We present several classes of explicit self-adjoint Sturm-Liouville difference operators with either a non-Hermitian leading coefficient function, or a non-Hermitian potential function, or a non-definite weight function, or a non-self-adjoint boundary condition. These examples are obtained using a g
Using a recently proved equivalence between disconjugacy of the 2nth-order difference equation tt v--'--O and solvability of the correeponding Riccati matrix difference equation, it is shown that the equation L(I/) = 0 is di~onjugate on a given interval if and only if the operator L admits the facto
An inverse spectral theory is presented for certain linear ordinary differential operators of arbitrary even order n which generalizes the Gel'fand-Levitan theory for Stu~m-Liouville operators. It is proved that the coefficients in these operators are uniquely determined by n -1 distinct spectral ma