Secular stability. VII - an analytic model displaying a continuous spectrum

Details Secular stability. VII - an analytic model displaying a continuous spectrum Secular stability. VII - an analytic model displaying a continuous spectrum

Sep 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....51..263a&link_type=abstract

Astronomy and Astrophysics, vol. 51, no. 2, Sept. 1976, p. 263-268. Research supported by the Fonds National de la Recherche Sc

Astronomy and Astrophysics

Astrophysics

5

Continuous Spectra, Eigenvalues, Mathematical Models, Secular Variations, Stellar Models, Abundance, Eigenvectors, Finite Difference Theory, Integral Equations, Stellar Spectra

Scientific paper

A model equation devised to simulate the essential mathematical features of the secular eigenvalue problem of stars in the presence of abundance perturbations is solved by means of an integral-equation technique. This method rigorously establishes the existence of a continuous spectrum. Moreover, it is shown that the heuristic finite-difference approximation to a certain class of singular differential systems which possess a continuous spectrum is a convenient tool for the investigation of the associated eigenfunctions.

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