Asymptotic methods for fourth-order differential equations-Reference-Cited by-同舟云学术

Asymptotic methods for fourth-order differential equations

Published:1980 Issue:1-2 Volume:87 Page:53-63
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:

Grudniewicz C. G. M.

Abstract

SynopsisA new method is developed for obtaining the asymptotic form of solutions of the fourth-order differential equation

wherem, nare integers and 1 ≦m,n≦ 2. The method gives new, shorter proofs of the well-known results of Walker in deficiency index theory and covers the cases not considered by Walker.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Asymptotic methods in the theory of one-dimensional singular differential operators.;Fedorjuk;Trans. Moscow Math. Soc.,1966

2. The limit-4 case of fourth-order self-adjoint differential equations

3. THE DEFICIENCY INDEX OF CERTAIN FOURTH-ORDER ORDINARY SELF-ADJOINT DIFFERENTIAL OPERATORS

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