论文标题

解决Yurko方法具有奇异潜力的Sturm-Liouville操作员的逆问题

Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method

论文作者

Bondarenko, Natalia P.

论文摘要

对于$ W_2^{ - 1} $具有单数潜力的Sturm-Liouville操作员的反向频谱问题是通过光谱映射的方法来解决的。我们证明了唯一性定理,为解决方案开发了建设性算法,并为自我偶像中的反问题和非自我辅助案例提供了必要和充分的解决条件

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases

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