Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations

Donal O'Regan

doi:10.1016/j.amc.2007.04.104

Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations

Donal O'Regan

Mathematics

Changchun University
Northeast Normal University

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

8 Citations (Scopus)

Abstract

In this paper we present some new existence results for singular semipositone Dirichlet boundary value problem for second-order impulsive differential equations using the upper and lower solutions method and a fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	240-255
Number of pages	16
Journal	Applied Mathematics And Computation
Volume	195
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.04.104
Publication status	Published - 1 Jan 2008

Keywords

Impulsive differential equation
Multiple positive solutions
Semipositone problem
Singular boundary value problem
Upper and lower solutions method

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

Authors
Zu, L,Jiang, DQ,O'Regan, D

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10.1016/j.amc.2007.04.104

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title = "Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations",

abstract = "In this paper we present some new existence results for singular semipositone Dirichlet boundary value problem for second-order impulsive differential equations using the upper and lower solutions method and a fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.",

keywords = "Impulsive differential equation, Multiple positive solutions, Semipositone problem, Singular boundary value problem, Upper and lower solutions method",

author = "Donal O'Regan",

year = "2008",

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N2 - In this paper we present some new existence results for singular semipositone Dirichlet boundary value problem for second-order impulsive differential equations using the upper and lower solutions method and a fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.

AB - In this paper we present some new existence results for singular semipositone Dirichlet boundary value problem for second-order impulsive differential equations using the upper and lower solutions method and a fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.

KW - Impulsive differential equation

KW - Multiple positive solutions

KW - Semipositone problem

KW - Singular boundary value problem

KW - Upper and lower solutions method

UR - https://www.scopus.com/pages/publications/36749013553

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DO - 10.1016/j.amc.2007.04.104

M3 - Article

VL - 195

SP - 240

EP - 255

JO - Applied Mathematics And Computation

JF - Applied Mathematics And Computation

IS - 1

ER -

Existence theory for multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations

Abstract

Keywords

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