General form of the Green's function regular at infinity for the homogeneous Sturm-Liouville matrix operator Articles uri icon

authors

  • PERNAS SALOMON, RENE
  • PÉREZ ÁLVAREZ, ROLANDO
  • VELASCO, VÍCTOR R.

publication date

  • October 2015

start page

  • 824

end page

  • 833

volume

  • 269

International Standard Serial Number (ISSN)

  • 0096-3003

Electronic International Standard Serial Number (EISSN)

  • 1873-5649

abstract

  • The standard Fourier transform method is used to analyze the expression of the Green's function regular at infinity for the Sturm-Liouville matrix operator in the important case of position independent parameters. A quadratic eigenvalue and eigenvector problem appears naturally. The classification of the former problem solutions allows to obtain the Green's function in a compact general form. Different physical problems were analyzed and the corresponding Green's function for various elementary excitations in less studied systems was predicted also.

subjects

  • Mathematics
  • Physics

keywords

  • sturm-liouville problem; green's function; multilayer systems; qep problem