Cart (Loading....) | Create Account
Close category search window

The solution of sturm-liouville problems by D-C network analyzer

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Swenson, George W. ; Washington University, St. Louis, Mo.

A GENERAL second-order ordinary differential equation occurring frequently in engineering analysis is ${d over dx} left [ f(x){d phi over dx} right ]+ lambda g(x) phi = 0 eqno{hbox{(1)}}$ in which ¿ is a constant and f and g are arbitrary functions such that a finite solution exists in the interval of interest. It is the purpose of this paper to show how solutions satisfying this equation and various boundary conditions can be obtained by means of a simple d-c network analyzer. For such an equation, there exist only certain values of the parameter ¿, the eigenvalues, which permit the solution to satisfy the boundary conditions. The first problem, then, is to determine one or more of these eigenvalues, whereupon the corresponding solutions can be obtained. This procedure presents considerable difficulty, and analytical solutions are available only for a few special cases.

Published in:

American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the  (Volume:72 ,  Issue: 6 )

Date of Publication:

Jan. 1954

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.