Singular initial and boundary value problems with sign changing nonlinearities

Ravi P. Agarwal; Donal O'Regan

doi:10.1093/imamat/65.2.173

Singular initial and boundary value problems with sign changing nonlinearities

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore

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

32 Citations (Scopus)

Abstract

A variety of new existence results are presented for both singular initial and boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in nonlinear mechanics (that is, in the membrane response of a spherical cap).

Original language	English
Pages (from-to)	173-198
Number of pages	26
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	65
Issue number	2
DOIs	https://doi.org/10.1093/imamat/65.2.173
Publication status	Published - Oct 2000

Access to Document

10.1093/imamat/65.2.173

Cite this

@article{8b6b650c9f3a4ae4a96356247f9908df,

title = "Singular initial and boundary value problems with sign changing nonlinearities",

abstract = "A variety of new existence results are presented for both singular initial and boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in nonlinear mechanics (that is, in the membrane response of a spherical cap).",

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

year = "2000",

month = oct,

doi = "10.1093/imamat/65.2.173",

language = "English",

volume = "65",

pages = "173--198",

journal = "IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)",

issn = "0272-4960",

publisher = "Oxford University Press",

number = "2",

}

TY - JOUR

T1 - Singular initial and boundary value problems with sign changing nonlinearities

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2000/10

Y1 - 2000/10

N2 - A variety of new existence results are presented for both singular initial and boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in nonlinear mechanics (that is, in the membrane response of a spherical cap).

AB - A variety of new existence results are presented for both singular initial and boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in nonlinear mechanics (that is, in the membrane response of a spherical cap).

UR - https://www.scopus.com/pages/publications/0034301909

U2 - 10.1093/imamat/65.2.173

DO - 10.1093/imamat/65.2.173

M3 - Article

AN - SCOPUS:0034301909

SN - 0272-4960

VL - 65

SP - 173

EP - 198

JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

IS - 2

ER -

Singular initial and boundary value problems with sign changing nonlinearities

Abstract

Access to Document

Other files and links

Fingerprint

Cite this