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In this paper, we are concerned with the inverse spectral problems for differential pencils defined on [0,π]$[0,\pi ]$ with an interior discontinuity. We prove that two potential functions are determined… Click to show full abstract
In this paper, we are concerned with the inverse spectral problems for differential pencils defined on [0,π]$[0,\pi ]$ 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∈(0,π)$b\in (0,\pi )$ in the situation of b=π/2$b=\pi /2$ and b≠π/2$b\neq \pi /2$. For the latter, we need the knowledge of a part of the second spectrum.
Keywords:
spectral data;
pencils impulse;
differential pencils;
impulse interior;
determination differential;
interior spectral
Journal Title: Boundary Value Problems
Year Published: 2019
Link to full text (if available)
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Journal Title: Boundary Value Problems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!