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《Acta Analysis Functionalis Applicata》 2013-01
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Inverse Nodal Problem for Integro-differential Operators on the Finite Interval

WANG Yuping Department of Applied Mathematics,Nanjing Forestry University,Nanjing 210037,China  
In this paper,we discuss the inverse nodal problem for integro-differential operators with Dirichlet boundary conditions.We show that a dense subset of nodal points for the integrodifferential operator is sufficient to determine the potential q(x) on the finite interval[0,π]as well as the kernel of integral perturbation M(x - t) on the region D_0 and provide a constructive procedure for the solution of the inverse nodal problem.
【Fund】: 国家自然科学基金(11171152)
【CateGory Index】: O175.3
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