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

Authors

Haishen Lu
Ravi P. Agarwal
Donal O'Regan

Document Type

Article

Publication Title

Boundary Value Problems

Abstract

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.

DOI

10.1155/2009/103867

Publication Date

10-26-2009

Recommended Citation

Lü, H., Agarwal, R. P., & O'Regan, D. (2009). An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities. Boundary Value Problems, 2009