NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS

Original Articles

NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS

Published in: Quaestiones Mathematicae
Volume 4 , issue 4 , 1981 , pages: 277–283
DOI: 10.1080/16073606.1981.9632249
Author(s): PatrickJ Browne Department of Mathematics & Statistics The, Canada , BD Sleeman Department of Mathematics The, U.K.

Abstract

In some recent papers [1, 3, 4] we discussed non-linear multiparameter systems of second order ordinary differential equations and paid particular attention to the phenomenon of bifurcation from eigenvalues. Here we present results to cover the abstract case in which our problems are posed in the language of operator theory.

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