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International Journal of Mathematics and Mathematical Sciences
Volume 2, Issue 3, Pages 493-502
http://dx.doi.org/10.1155/S0161171279000399

Parameters and solutions of linear and nonlinear oscillators

Department of Mathematics, California State University, Los Angeles 90032, California, USA

Received 27 December 1978

Copyright © 1979 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained. Behavior of the solutions, as the parameter increases, is also studied.