منابع مشابه
Inverse Sturm-Liouville problem with discontinuity conditions
This paper deals with the boundary value problem involving the differential equation begin{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 rea...
متن کاملinverse sturm-liouville problem with discontinuity conditions
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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For the Sturm-Liouville operator L =L,: .VP+ -p” +pv one seeks to reconstruct the coefficient p from knowledge of the sequence of eigen-frequencies (Aj with LJ? =Ajn for some y j # 0). An implementable scheme is: for some N determine pnr so (approximately) pN has minimum norm with eigen-frequencies { A , . . . . .IN/ as given. This is the method ot’ ’generalised interpolation‘ and is shown to g...
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متن کاملInverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and p...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2007
ISSN: 1078-0947
DOI: 10.3934/dcds.2007.18.405