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arXiv 2012.00450math.FA
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具有非局部势的三阶微分算子的谱反问题

Inverse spectral problem for a third-order differential operator with non-local potential

V. A. Zolotarev

摘要:

研究了有限区间上具有非局部位势的自伴三阶微分算子的谱问题。描述了类似于这些算子的正弦和余弦的初等函数。求解了具有非局部势的三阶算子的正问题和反问题。

英文摘要:

Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems for third-order operators with non-local potential are solved.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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