Eigenfunction Expansions Associated with Second-order Differential Equations

Released on by Edward Charles Titchmarsh
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  • Eigenfunction Expansions Associated with Second-order Differential Equations Book Detail

  • Author : Edward Charles Titchmarsh
  • Release Date : 1962
  • Publisher :
  • Genre : Boundary value problems
  • Pages : 224
  • ISBN 13 :
  • File Size : 88,88 MB
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Eigenfunction Expansions Associated with Second-order Differential Equations by Edward Charles Titchmarsh PDF Summary

Book Description: Vol. 1. The Sturm-Liouville expansion -- The singular case : series expansions -- The general singular case -- Examples -- The nature of the spectrum -- An alternative method : transform theory -- The distribution of the eigenvalues -- General theorems on eigenfunctions -- Convergence of the expansion under Fourier conditions -- Summability -- vol. 2. Expansions in a rectangle -- Expansions in the whole plane -- Extensions of the theory -- Variation of the eigenvalues : the problem of the general finite region -- Separable equations -- The nature of the spectrum -- The distribution of the eigenvalues -- Convergence and summability theorems -- Perturbation theory -- Perturbation theory involving continuous spectra -- The case in which q(x) is periodic -- Miscellaneous theorems.

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