Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

Daqing Jiang; Lili Zhang; Donal O'Regan; Ravi P. Agarwal

doi:10.1155/S1048953303000029

Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

Daqing Jiang
, Lili Zhang
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

Northeast Normal University
Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ²y(i - 1) + μf(i, y(i)) = 0, i ∈ {1, 2, ..., T} y(0) = y(T + 1) = 0, where μ > 0 is a constant and our nonlinear term f(i, u) may be singular at u = 0.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	16
Issue number	1
DOIs	https://doi.org/10.1155/S1048953303000029
Publication status	Published - 2003

Keywords

Multiple Solutions
Semipositone Problem
Singular Discrete Boundary Value Problem
Upper and Lower Solutions Method

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10.1155/S1048953303000029

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title = "Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities",

abstract = "In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem \{Δ2y(i - 1) + μf(i, y(i)) = 0, i ∈ \{1, 2, ..., T\} y(0) = y(T + 1) = 0, where μ > 0 is a constant and our nonlinear term f(i, u) may be singular at u = 0.",

keywords = "Multiple Solutions, Semipositone Problem, Singular Discrete Boundary Value Problem, Upper and Lower Solutions Method",

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

year = "2003",

doi = "10.1155/S1048953303000029",

language = "English",

volume = "16",

pages = "19--31",

journal = "Journal of Applied Mathematics and Stochastic Analysis",

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Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities. / Jiang, Daqing; Zhang, Lili; O'Regan, Donal et al.
In: Journal of Applied Mathematics and Stochastic Analysis, Vol. 16, No. 1, 2003, p. 19-31.

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

TY - JOUR

T1 - Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

AU - Jiang, Daqing

AU - Zhang, Lili

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2003

Y1 - 2003

N2 - In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ2y(i - 1) + μf(i, y(i)) = 0, i ∈ {1, 2, ..., T} y(0) = y(T + 1) = 0, where μ > 0 is a constant and our nonlinear term f(i, u) may be singular at u = 0.

AB - In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ2y(i - 1) + μf(i, y(i)) = 0, i ∈ {1, 2, ..., T} y(0) = y(T + 1) = 0, where μ > 0 is a constant and our nonlinear term f(i, u) may be singular at u = 0.

KW - Multiple Solutions

KW - Semipositone Problem

KW - Singular Discrete Boundary Value Problem

KW - Upper and Lower Solutions Method

UR - https://www.scopus.com/pages/publications/55449126882

U2 - 10.1155/S1048953303000029

DO - 10.1155/S1048953303000029

M3 - Article

AN - SCOPUS:55449126882

SN - 1048-9533

VL - 16

SP - 19

EP - 31

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

IS - 1

ER -

Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

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Keywords

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