Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale

We consider the nonlinear second order conjugate eigenvalue problem on a time scale: y ΔΔ(t)+λa(t)f(y(σ(t)))=0,t∈[0,1],y(0)=0=y(σ(1)) . Values of the parameter λ (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a...

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Bibliographic Details
Main Authors: John M. Davis, Johnny Henderson, K. Rajendra Prasad, William Yin
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S108533750000018X