Solvability of some fourth (and higher) order singular boundary value problems

Donal O'Regan

doi:10.1016/0022-247X(91)90363-5

Solvability of some fourth (and higher) order singular boundary value problems

Donal O'Regan

Maynooth College

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

104 Citations (Scopus)

Abstract

Existence results for a variety of singular fourth order boundary value problems of the form y^iv = f(t, y, y′, y″) are given. Here our nonlinear term f may be singular at t = 0, t = 1, y = 0, and/or y″ = 0. For example, some singularities of the type y^-a and |y″|^-b are included. Also we discuss and treat the extension of these results to nth order boundary value problems.

Original language	English
Pages (from-to)	78-116
Number of pages	39
Journal	Journal of Mathematical Analysis and Applications
Volume	161
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(91)90363-5
Publication status	Published - Oct 1991
Externally published	Yes

Access to Document

10.1016/0022-247X(91)90363-5

Cite this

@article{6952bd6fcab54bb3a3feff720a0f8b97,

title = "Solvability of some fourth (and higher) order singular boundary value problems",

abstract = "Existence results for a variety of singular fourth order boundary value problems of the form yiv = f(t, y, y′, y″) are given. Here our nonlinear term f may be singular at t = 0, t = 1, y = 0, and/or y″ = 0. For example, some singularities of the type y-a and |y″|-b are included. Also we discuss and treat the extension of these results to nth order boundary value problems.",

author = "Donal O'Regan",

year = "1991",

month = oct,

doi = "10.1016/0022-247X(91)90363-5",

language = "English",

volume = "161",

pages = "78--116",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Solvability of some fourth (and higher) order singular boundary value problems

AU - O'Regan, Donal

PY - 1991/10

Y1 - 1991/10

N2 - Existence results for a variety of singular fourth order boundary value problems of the form yiv = f(t, y, y′, y″) are given. Here our nonlinear term f may be singular at t = 0, t = 1, y = 0, and/or y″ = 0. For example, some singularities of the type y-a and |y″|-b are included. Also we discuss and treat the extension of these results to nth order boundary value problems.

AB - Existence results for a variety of singular fourth order boundary value problems of the form yiv = f(t, y, y′, y″) are given. Here our nonlinear term f may be singular at t = 0, t = 1, y = 0, and/or y″ = 0. For example, some singularities of the type y-a and |y″|-b are included. Also we discuss and treat the extension of these results to nth order boundary value problems.

UR - https://www.scopus.com/pages/publications/0002872438

U2 - 10.1016/0022-247X(91)90363-5

DO - 10.1016/0022-247X(91)90363-5

M3 - Article

AN - SCOPUS:0002872438

SN - 0022-247X

VL - 161

SP - 78

EP - 116

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Solvability of some fourth (and higher) order singular boundary value problems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this