Chyan, Chuan JenDavis, John M.Henderson, JohnnyYin, William K. C.2018-11-162018-11-161998-12-19Chyan, C. J., Davis, J. M., Henderson, J., & Yin, W. K. C. (1998). Eigenvalue comparisons for differential equations on a measure chain. <i>Electronic Journal of Differential Equations, 1998</i>(35), pp. 1-7.1072-6691https://hdl.handle.net/10877/7798The theory of u0-positive operators with respect to a cone in a Banach space is applied to eigenvalue problems associated with the second order Δ-differential equation (often referred to as a differential equation on a measure chain) given by yΔΔ(t) + λp(t)y(σ(t)) = 0, t ∈ [0,1] satisfying the boundary conditions y(0) = 0 = y(σ2(1)). The existence of a smallest positive eigenvalue is proven and then a theorem is established comparing the smallest positive eigenvalues for two problems of this type.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalMeasure chainEigenvalue problemArticle