Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
John M. Davis,1Johnny Henderson,2K. Rajendra Prasad,3and William Yin4
Received02 Feb 2000
Abstract
We consider the nonlinear second order conjugate eigenvalue
problem on a time scale: yΔΔ(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 broader class of functions for a(t).