On Quasi-periodic Differential Pencils with Jump Conditions Inside the Interval

Vjacheslav Yurko

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arXiv · 1501.07771

On Quasi-periodic Differential Pencils with Jump Conditions Inside the Interval

Vjacheslav Yurko

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Abstract

Non-self-adjoint second-order differential pencils on a finite interval with non-separated quasi-periodic boundary conditions and jump conditions are studied. We establish properties of spectral characteristics and investigate the inverse spectral problem of recovering the operator from its spectral data. For this inverse problem we prove the corresponding uniqueness theorem and provide an algorithm for constructing its solution.

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BibTeX RIS

Vjacheslav Yurko. 2015-01-30. On Quasi-periodic Differential Pencils with Jump Conditions Inside the Interval. https://arxiv.org/abs/1501.07771

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