A note on upper and lower solutions for singular initial value problems: Singular initial value problems

Ravi P. Agarwal; Donal O’Regan

doi:10.1002/1099-1476(20010110)24:1<49::AID-MMA192>3.0.CO;2-B

A note on upper and lower solutions for singular initial value problems: Singular initial value problems

Ravi P. Agarwal
, Donal O’Regan

Mathematics

National University of Singapore

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

2 Citations (Scopus)

Abstract

An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's fixed point theorem and the Arzela-Ascoli theorem.

Original language	English
Pages (from-to)	49-57
Number of pages	9
Journal	Mathematical Methods in the Applied Sciences
Volume	24
Issue number	1
DOIs	https://doi.org/10.1002/1099-1476(20010110)24:1<49::AID-MMA192>3.0.CO;2-B
Publication status	Published - 2001

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10.1002/1099-1476(20010110)24:1<49::AID-MMA192>3.0.CO;2-B

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title = "A note on upper and lower solutions for singular initial value problems: Singular initial value problems",

abstract = "An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's fixed point theorem and the Arzela-Ascoli theorem.",

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AU - O’Regan, Donal

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N2 - An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's fixed point theorem and the Arzela-Ascoli theorem.

AB - An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's fixed point theorem and the Arzela-Ascoli theorem.

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DO - 10.1002/1099-1476(20010110)24:1<49::AID-MMA192>3.0.CO;2-B

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AN - SCOPUS:0035834905

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 1

ER -

A note on upper and lower solutions for singular initial value problems: Singular initial value problems

Abstract

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