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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 3, Pages 493-502
doi:10.1155/S0161171279000399

Parameters and solutions of linear and nonlinear oscillators

Rina Ling

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

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.