Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

Daqing Jiang; Jifeng Chu; Donal O'Regan; Ravi P. Agarwal

doi:10.1016/S0022-247X(03)00493-1

Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

Daqing Jiang, Jifeng Chu, Donal O'Regan, Ravi P. Agarwal

Mathematics

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61 Citations (Scopus)

Abstract

The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones.

Original language	English
Pages (from-to)	563-576
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	286
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(03)00493-1
Publication status	Published - 15 Oct 2003

Keywords

Fixed point theorem in cones
Leray-Schauder alternative
Positive solution
Superlinear singular periodic problem

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

Authors
Jiang, DQ;Chu, JF;O'Regan, D;Agarwal, RP

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10.1016/S0022-247X(03)00493-1

Cite this

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title = "Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces",

abstract = "The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones.",

keywords = "Fixed point theorem in cones, Leray-Schauder alternative, Positive solution, Superlinear singular periodic problem",

author = "Daqing Jiang and Jifeng Chu and Donal O'Regan and Agarwal, \{Ravi P.\}",

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T1 - Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

AU - Jiang, Daqing

AU - Chu, Jifeng

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2003/10/15

Y1 - 2003/10/15

N2 - The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones.

AB - The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones.

KW - Fixed point theorem in cones

KW - Leray-Schauder alternative

KW - Positive solution

KW - Superlinear singular periodic problem

UR - https://www.scopus.com/pages/publications/0242593196

U2 - 10.1016/S0022-247X(03)00493-1

DO - 10.1016/S0022-247X(03)00493-1

M3 - Article

SN - 0022-247X

VL - 286

SP - 563

EP - 576

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

Abstract

Keywords

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

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