Singular boundary value problems for first and second order impulsive differential equations

Ravi P. Agarwal; Daniel Franco; Donal O'Regan

doi:10.1007/s00010-004-2735-9

Singular boundary value problems for first and second order impulsive differential equations

Ravi P. Agarwal
, Daniel Franco
, Donal O'Regan

Mathematics

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

83 Citations (Scopus)

Abstract

We establish the existence of at least one positive solution for first and second order singular boundary value problems with impulses where the singularity is integrable. We employ a new technique based on Schauder's fixed point theorem. Some of the results are new even in the nonimpulsive case.

Original language	English
Pages (from-to)	83-96
Number of pages	14
Journal	Aequationes Mathematicae
Volume	69
Issue number	1-2
DOIs	https://doi.org/10.1007/s00010-004-2735-9
Publication status	Published - Mar 2005

Keywords

Existence
Impulsive
Positive solutions
Singular

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10.1007/s00010-004-2735-9

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title = "Singular boundary value problems for first and second order impulsive differential equations",

abstract = "We establish the existence of at least one positive solution for first and second order singular boundary value problems with impulses where the singularity is integrable. We employ a new technique based on Schauder's fixed point theorem. Some of the results are new even in the nonimpulsive case.",

keywords = "Existence, Impulsive, Positive solutions, Singular",

author = "Agarwal, \{Ravi P.\} and Daniel Franco and Donal O'Regan",

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T1 - Singular boundary value problems for first and second order impulsive differential equations

AU - Agarwal, Ravi P.

AU - Franco, Daniel

AU - O'Regan, Donal

PY - 2005/3

Y1 - 2005/3

N2 - We establish the existence of at least one positive solution for first and second order singular boundary value problems with impulses where the singularity is integrable. We employ a new technique based on Schauder's fixed point theorem. Some of the results are new even in the nonimpulsive case.

AB - We establish the existence of at least one positive solution for first and second order singular boundary value problems with impulses where the singularity is integrable. We employ a new technique based on Schauder's fixed point theorem. Some of the results are new even in the nonimpulsive case.

KW - Existence

KW - Impulsive

KW - Positive solutions

KW - Singular

UR - https://www.scopus.com/pages/publications/16244411956

U2 - 10.1007/s00010-004-2735-9

DO - 10.1007/s00010-004-2735-9

M3 - Article

SN - 0001-9054

VL - 69

SP - 83

EP - 96

JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

IS - 1-2

ER -

Singular boundary value problems for first and second order impulsive differential equations

Abstract

Keywords

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