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Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
A Book

by Elina Shishkina,Sergei Sitnik

  • Publisher : Academic Press
  • Release : 2020-07-24
  • Pages : 592
  • ISBN : 0128204079
  • Language : En, Es, Fr & De
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Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details Enables researchers, lecturers and students to find material under the single "roof"

Direct and Inverse Sturm-Liouville Problems

Direct and Inverse Sturm-Liouville Problems
A Method of Solution

by Vladislav V. Kravchenko

  • Publisher : Springer Nature
  • Release : 2020-08-29
  • Pages : 154
  • ISBN : 3030478491
  • Language : En, Es, Fr & De
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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 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.

Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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On a Class of Singular Cauchy Problems

On a Class of Singular Cauchy Problems
A Book

by Jan Derk Siersma

  • Publisher : Unknown Publisher
  • Release : 1979
  • Pages : 159
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Catalogue Issue

Catalogue Issue
A Book

by Massachusetts Institute of Technology

  • Publisher : Unknown Publisher
  • Release : 1964
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Energy Research Abstracts

Energy Research Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1982-03
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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High Energy Physics Index

High Energy Physics Index
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1990
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Physics Briefs

Physics Briefs
Physikalische Berichte

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1994
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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