General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation-Reference-Cited by-同舟云学术

General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation

Published:1988 Issue:1-2 Volume:108 Page:45-56
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Freiling Gerhard

Abstract

SynopsisWe consider a class of non-self adjoint multipoint eigenvalue problems. Using necessary conditions for the regularity of these problems, we obtain a theorem on the expansion of certain functions into a series of eigen- and associated functions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference29 articles.

1. The boundary problem of an ordinary linear differential system in the complex domain

2. Asymptotic Solutions of Certain Ordinary Differential Equations Associated with Multiple Roots of the Characteristic Equation

3. Theory of linear differential equations containing a parameter;Trjitzinsky;Ada. Math.,1936

4. Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions

5. 21 Tamarkin J. D. . Some general problems of the theory of ordinary linear differential equations and expansions of an arbitrary function in series of fundamental functions (Russian). Thesis, Petrograd, 1917.

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