Positive Solutions to Singular Boundary Value Problems with at most Linear Growth

Donal O'Regan

doi:10.1080/00036819108840172

Positive Solutions to Singular Boundary Value Problems with at most Linear Growth

Donal O'Regan

Mathematics

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

8 Citations (Scopus)

Abstract

This paper presents existence results to the nonlinear boundary value problem y” + f(t,y,y') = 0, 0 < t < 1 with y satisfying either (i). y(0) = y'(1) = 0 or (ii).y(0) = y(1) = 0. The problems discussed may be singular at either y = 0 or y' = 0 or both. Singularities at t = 0 and/or t = 1 are also discussed.

Original language	English
Pages (from-to)	171-196
Number of pages	26
Journal	Applicable Analysis
Volume	49
Issue number	3-4
DOIs	https://doi.org/10.1080/00036819108840172
Publication status	Published - 1 Apr 1993

Keywords

boundary value problems
positive
Singular

Access to Document

10.1080/00036819108840172

Cite this

@article{80e89a0bdba24f0ab159b95051c98972,

title = "Positive Solutions to Singular Boundary Value Problems with at most Linear Growth",

abstract = "This paper presents existence results to the nonlinear boundary value problem y{\textquotedblright} + f(t,y,y') = 0, 0 < t < 1 with y satisfying either (i). y(0) = y'(1) = 0 or (ii).y(0) = y(1) = 0. The problems discussed may be singular at either y = 0 or y' = 0 or both. Singularities at t = 0 and/or t = 1 are also discussed.",

keywords = "boundary value problems, positive, Singular",

author = "Donal O'Regan",

year = "1993",

month = apr,

day = "1",

doi = "10.1080/00036819108840172",

language = "English",

volume = "49",

pages = "171--196",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "3-4",

}

TY - JOUR

T1 - Positive Solutions to Singular Boundary Value Problems with at most Linear Growth

AU - O'Regan, Donal

PY - 1993/4/1

Y1 - 1993/4/1

N2 - This paper presents existence results to the nonlinear boundary value problem y” + f(t,y,y') = 0, 0 < t < 1 with y satisfying either (i). y(0) = y'(1) = 0 or (ii).y(0) = y(1) = 0. The problems discussed may be singular at either y = 0 or y' = 0 or both. Singularities at t = 0 and/or t = 1 are also discussed.

AB - This paper presents existence results to the nonlinear boundary value problem y” + f(t,y,y') = 0, 0 < t < 1 with y satisfying either (i). y(0) = y'(1) = 0 or (ii).y(0) = y(1) = 0. The problems discussed may be singular at either y = 0 or y' = 0 or both. Singularities at t = 0 and/or t = 1 are also discussed.

KW - boundary value problems

KW - positive

KW - Singular

UR - https://www.scopus.com/pages/publications/0040662854

U2 - 10.1080/00036819108840172

DO - 10.1080/00036819108840172

M3 - Article

AN - SCOPUS:0040662854

SN - 0003-6811

VL - 49

SP - 171

EP - 196

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3-4

ER -

Positive Solutions to Singular Boundary Value Problems with at most Linear Growth

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this