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

John M. Davis, Johnny Henderson, K. Rajendra Prasad and William Yin

Abstract and Applied Analysis, 2000, vol. 5, issue 2, 91-99

Abstract: 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 broader class of functions for a(t).

Date: 2000
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https://doi.org/10.1155/S108533750000018X

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:5:y:2000:i:2:p:91-99

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