Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T18:53:22.103Z Has data issue: false hasContentIssue false
  • English
  • Français

On the general solution of a linear second order equation with variable coefficients

Published online by Cambridge University Press:  26 February 2010

David L. Clements  and
C. Rogers
David L. Clements
Affiliation:
Department of Applied Mathematics, The University of Adelaide, Box 498 G.P.O., Adelaide SA 5001, Australia.
C. Rogers
Affiliation:
Department of Applied Mathematics, The University of Waterloo, Canada.
Get access

Abstract

A linear second order partial differential equation with variable coefficients is considered. The equation is relevant in a number of physical situations. Simple general solutions are obtained subject to the coefficients satisfying certain constraints.

Type
Research Article
Information
Mathematika , Volume 30 , Issue 1 , June 1983 , pp. 94 - 103
Copyright
Copyright © University College London 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Eason, G.. Wave propagation in inhomogeneous elastic media. Bull. Seism. Soc. Amer., 57 (1967), 1267- 1277.Google Scholar
Thomson, L. M. Milne. Antiplane elastic systems (Springer-Verlag, 1960).Google Scholar
Synge, J. L.. On the vibrations of a heterogeneous string. Quart. Appl. Math., 39 (1981), 292–297.Google Scholar
Teipel, I.. Nichtlineare Wellenausbreitungsvoryange in elastischen Leitungen. Ada Mech., 16 (1973), 93–106.Google Scholar
Webster, A. G.. Acoustical impedance and the theory of horns and of the phonograph. Proc. Nat. Acad. Sci., 5 (1919), 275–282.CrossRefGoogle ScholarPubMed