Non-resonance and eigenvalues of nonlinear singular boundary value problems

Xiyu Liu; Weijie Feng; Hong Liu

doi:10.1016/S0362-546X(01)00797-0

Non-resonance and eigenvalues of nonlinear singular boundary value problems

Xiyu Liu^*
, Weijie Feng
, Hong Liu

^*Corresponding author for this work

Shandong Normal University
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The Sturmian oscillation theorem was used to study the eigenvalues and eigenfunctions for boundary value problems. The boundary value problems were assumed to be singular in nature. Different nodal properties were used to obtain the properties of non-resonance and prove the existence of multiple solutions.

Original language	English
Pages (from-to)	995-1012
Number of pages	18
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	50
Issue number	7
DOIs	https://doi.org/10.1016/S0362-546X(01)00797-0
State	Published - Sep 2002
Externally published	Yes

Keywords

Boundary value problems
Fixed point
Multiple solutions
Non-resonance
Singular

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10.1016/S0362-546X(01)00797-0

Cite this

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title = "Non-resonance and eigenvalues of nonlinear singular boundary value problems",

abstract = "The Sturmian oscillation theorem was used to study the eigenvalues and eigenfunctions for boundary value problems. The boundary value problems were assumed to be singular in nature. Different nodal properties were used to obtain the properties of non-resonance and prove the existence of multiple solutions.",

keywords = "Boundary value problems, Fixed point, Multiple solutions, Non-resonance, Singular",

author = "Xiyu Liu and Weijie Feng and Hong Liu",

year = "2002",

month = sep,

doi = "10.1016/S0362-546X(01)00797-0",

language = "英语",

volume = "50",

pages = "995--1012",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

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number = "7",

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TY - JOUR

T1 - Non-resonance and eigenvalues of nonlinear singular boundary value problems

AU - Liu, Xiyu

AU - Feng, Weijie

AU - Liu, Hong

PY - 2002/9

Y1 - 2002/9

N2 - The Sturmian oscillation theorem was used to study the eigenvalues and eigenfunctions for boundary value problems. The boundary value problems were assumed to be singular in nature. Different nodal properties were used to obtain the properties of non-resonance and prove the existence of multiple solutions.

AB - The Sturmian oscillation theorem was used to study the eigenvalues and eigenfunctions for boundary value problems. The boundary value problems were assumed to be singular in nature. Different nodal properties were used to obtain the properties of non-resonance and prove the existence of multiple solutions.

KW - Boundary value problems

KW - Fixed point

KW - Multiple solutions

KW - Non-resonance

KW - Singular

UR - https://www.scopus.com/pages/publications/0036721968

U2 - 10.1016/S0362-546X(01)00797-0

DO - 10.1016/S0362-546X(01)00797-0

M3 - 文章

AN - SCOPUS:0036721968

SN - 0362-546X

VL - 50

SP - 995

EP - 1012

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7

ER -

Non-resonance and eigenvalues of nonlinear singular boundary value problems

Abstract

Keywords

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