Download or read book A Study of Solution Multiplicity in Some Problems of Mathematical Physics written by George H. Pimbley and published by . This book was released on 1960 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: An eigenvalue problem is introduced for a simple differential equation. This equation, however, contains a nonlinear term with definitely states properties. It is shown, and the methods of proof are described, that instead of getting the familiar properties of the eigenvalues and eigenfunctions of classical linear systems, one obtains rather interesting patterns of finite multiplicity of the solutions.