Direct and Inverse Sturm-Liouville Problems

Released on by Vladislav V. Kravchenko
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  • Direct and Inverse Sturm-Liouville Problems Book Detail

  • Author : Vladislav V. Kravchenko
  • Release Date : 2020-07-28
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 155
  • ISBN 13 : 3030478491
  • File Size : 32,32 MB
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Direct and Inverse Sturm-Liouville Problems by Vladislav V. Kravchenko PDF Summary

Book Description: This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.

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Direct and Inverse Sturm-Liouville Problems

Direct and Inverse Sturm-Liouville Problems

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This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infin

Inverse Sturm-Liouville Problems

Inverse Sturm-Liouville Problems

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The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in ma