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An Approximation Approach To Eigenvalue Intervals For Singular Boundary Value Problems With Sign Changing And Superlinear Nonlinearities, Haishen Lu, Ravi P. Agarwal, Donal O'Regan
An Approximation Approach To Eigenvalue Intervals For Singular Boundary Value Problems With Sign Changing And Superlinear Nonlinearities, Haishen Lu, Ravi P. Agarwal, Donal O'Regan
Mathematics and System Engineering Faculty Publications
This paper studies the eigenvalue interval for the singular boundary value problem u″ = g (t, u) + λ h (t, u), t ∈(0, 1),u (0) = 0 = u (1), where g + h may be singular at u = 0, t = 0, 1, and may change sign and be superlinear at u = + ∞. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright © 2009 Haishen Lü et al.