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

Donal O'Regan

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

Donal O'Regan

Mathematics

Hohai University
Department of Mathematical Sciences
King Fahd University of Petroleum and Minerals

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

This paper studies the eigenvalue interval for the singular boundary value problem -u = g(t, u) + lambda h(t, u), t is an element of (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 = +infinity. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright (C) 2009 Haishen Lu et al.

Original language	English (Ireland)
Article number	103867
Journal	Boundary Value Problems
Volume	2009
Publication status	Published - 1 Sept 2009

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Lu, HS,Agarwal, RP,O'Regan, D

Cite this

@article{63d686bcceb74d9f9c06c7af06355567,

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

abstract = "This paper studies the eigenvalue interval for the singular boundary value problem -u = g(t, u) + lambda h(t, u), t is an element of (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 = +infinity. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright (C) 2009 Haishen Lu et al.",

author = "Donal O'Regan",

year = "2009",

month = sep,

day = "1",

language = "English (Ireland)",

volume = "2009",

journal = "Boundary Value Problems",

}

TY - JOUR

T1 - An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities

AU - O'Regan, Donal

PY - 2009/9/1

Y1 - 2009/9/1

N2 - This paper studies the eigenvalue interval for the singular boundary value problem -u = g(t, u) + lambda h(t, u), t is an element of (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 = +infinity. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright (C) 2009 Haishen Lu et al.

AB - This paper studies the eigenvalue interval for the singular boundary value problem -u = g(t, u) + lambda h(t, u), t is an element of (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 = +infinity. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright (C) 2009 Haishen Lu et al.

UR - https://www.scopus.com/pages/publications/80052653504

M3 - Article

VL - 2009

JO - Boundary Value Problems

JF - Boundary Value Problems

M1 - 103867

ER -

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

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

Other files and links

Fingerprint

Cite this