Determination of differential pencils with impulse from interior spectral data
Determination of differential pencils with impulse from interior spectral data
Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>[</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>π</mml:mi><mml:mo>]</mml:mo></mml:math> with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi …