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Nonlinear eigenvalue problems for a class of ordinary differential equations

Published online by Cambridge University Press:  12 July 2007

Uri Elias
Affiliation:
Department of Mathematics, Technion, IIT, Haifa 32000, Israel
Allan Pinkus
Affiliation:
Department of Mathematics, Technion, IIT, Haifa 32000, Israel
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Abstract

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We consider the class of nonlinear eigenvalue problems where yp* = |y|p sgn y, pi > 0 and p0p1pn−1 = r, with various boundary conditions. We prove the existence of eigenvalues and study the zero properties and structure of the corresponding eigenfunctions.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2002