Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators

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  • Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators Book Detail

  • Author : Natalia Bondarenko
  • Release Date : 2024-08-02
  • Publisher :
  • Genre : Mathematics
  • Pages : 0
  • ISBN 13 : 9783725815951
  • File Size : 64,64 MB

Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators by Natalia Bondarenko PDF Summary

Book Description: This reprint contains a collection of research papers on spectral theory for differential and functional differential operators. Spectral theory plays a fundamental role in mathematics and has applications in various fields of science and engineering, e.g., in quantum and classical mechanics, geophysics, acoustics, and electronics. The collection includes recent studies on a variety of topics such as analytical and numerical methods for solving direct and inverse spectral problems, new developments in the theory of partial differential equations, pseudo-differential equations with fractional derivatives, asymptotical analysis for solutions of differential equations, spectral theory for abstract operators in Hilbert spaces, and inverse nodal problems.

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Spectral Analysis of Differential Operators

Spectral Analysis of Differential Operators

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This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. I