Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators
نویسندگان
چکیده
منابع مشابه
Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators
We provide a comprehensive treatment of oscillation theory for Jacobi operators with separated boundary conditions. Our main results are as follows: If u solves the Jacobi equation (Hu)(n) = a(n)u(n + 1) + a(n − 1)u(n − 1) − b(n)u(n) = λu(n), λ ∈ R (in the weak sense) on an arbitrary interval and satisfies the boundary condition on the left or right, then the dimension of the spectral projectio...
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Oscillation theory for one-dimensional Dirac operators with separated boundary conditions is investigated. Our main theorem reads: If λ0,1 ∈ R and if u, v solve the Dirac equation Hu = λ0u, Hv = λ1v (in the weak sense) and respectively satisfy the boundary condition on the left/right, then the dimension of the spectral projection P(λ0,λ1)(H) equals the number of zeros of the Wronskian of u and ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1996
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.0126