An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities. (26th October 2009)

• Record Type: Journal Article
• Authors: Lü, Haishen; Agarwal, Ravi P.; O'Regan, Donal
• Other Names: Kiguradze Ivan T. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-10-26
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/103867
• Languages: English
• ISSNs: 1687-2762

Abstract

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 ), whereg + h may be singular atu = 0, t = 0, 1, and may change sign and be superlinear atu = + ∞ . The approach is based on an approximation method together with the theory of upper and lower solutions.