Uniqueness of Recovering Differential Operators on Hedgehog-Type Graphs
نویسندگان
چکیده
An inverse spectral problem is studied for second-order differential operators on hedgehog-type graphs with standard matching conditions in internal vertices and with mixed boundary conditions in boundary vertices. We prove a uniqueness theorem of recovering the coefficients of differential equations and boundary conditions from the given spectral characteristics. AMS Subject Classifications: AMS Classification: 34A55, 34B24, 47E05.
منابع مشابه
Inverse Nodal Problems for Differential Operators on Graphs with a Cycle
Inverse nodal problems are studied for second-order differential operators on graphs with a cycle and with standard matching conditions in the internal vertex. Uniqueness theorems are proved, and a constructive procedure for the solution is provided.
متن کاملA Uniqueness Theorem of the Solution of an Inverse Spectral Problem
This paper is devoted to the proof of the unique solvability ofthe inverse problems for second-order differential operators withregular singularities. It is shown that the potential functioncan be determined from spectral data, also we prove a uniquenesstheorem in the inverse problem.
متن کاملSolutions for some non-linear fractional differential equations with boundary value problems
In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators. Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems.
متن کاملDetermination of Singular Differential Pencils from the Weyl Function
The inverse spectral problem of recovering pencils of second-order differential operators on the half-line from the Weyl function is studied. We establish properties of the spectral characteristics, give a formulation of the inverse problem, prove an uniqueness theorem and provide a constructive procedure for the solution of the inverse problem by the method of spectral mappings AMS Subject Cla...
متن کاملThe spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...
متن کامل