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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  and
Allan Pinkus
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 p0p1 … pn−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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 6 , December 2002 , pp. 1333 - 1359
Copyright
Copyright © Royal Society of Edinburgh 2002