On a local uniqueness result for the inverse Sturm-Liouville problem
نویسندگان
چکیده
منابع مشابه
On a local uniqueness result for the inverse Sturm-Liouville problem
A new and fairly elementary proof is given of the result by B. Simon [Sim99], that the potential in a Sturm-Liouville operator is determined by the asymptotics of the associated m-function near −∞. The proof given is based on relations between the classical transformation operators and the m-function.
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this paper deals with the boundary value problem involving the differential equationbegin{equation*} ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity conditions at a point $ain (0,pi)$ begin{equation*} y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0),end{equation*}where $q(x), a_1 , a_2$ are real, $qin l...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2001
ISSN: 0004-2080
DOI: 10.1007/bf02384561