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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
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Original Articles

Existence theory for nonlinear eigenvalue problems

Pages 293-301 | Received 26 Nov 2007, Accepted 11 Jan 2008, Published online: 19 Mar 2008
 

Abstract

In this article, we study nonlinear boundary value problems of the form,

with boundary conditions
The λ we refer to is an eigenvalue of the associated linear Sturm–Liouville problem. We establish sufficient conditions for the existence of solutions to the nonlinear boundary value problem.

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