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This paper studies the eigenvalue interval for the singular boundary value problem &#x2212;u&#x02032;&#x02032;=g(t,u)+&#x03BB;h(t,u), &#x02009;&#x02009;t&#x2208;(0,1),&#x02009;&#x02009;u(0)=0=u(1), where g+h may be singular at u=0, &#x02009;t=0,1, and may change sign and be superlinear at u=+&#x221E;. The approach is based on an approximation method together with the theory of upper and lower solutions

An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities