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Inverse spectral problems for differential pencils with boundary conditions dependent on the spectral parameter

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In this paper, we discuss two inverse problems for differential pencils with boundary conditions dependent on the spectral parameter. We will prove the Hochstadt–Lieberman type theorem of (1)–(2) except for… Click to show full abstract

In this paper, we discuss two inverse problems for differential pencils with boundary conditions dependent on the spectral parameter. We will prove the Hochstadt–Lieberman type theorem of (1)–(2) except for arbitrary one eigenvalue and the Borg type theorem of (1)–(2) except for at most arbitrary two eigenvalues, respectively. The new results are generalizations of the related results. Copyright © 2016 John Wiley & Sons, Ltd.

Keywords: differential pencils; boundary conditions; conditions dependent; dependent spectral; pencils boundary; problems differential

Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017

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