Positive solutions to singular initial value problems with sign changing nonlinearities

R. P. Agarwal; D. O'Regan

doi:10.1016/S0895-7177(98)00096-X

Positive solutions to singular initial value problems with sign changing nonlinearities

R. P. Agarwal, D. O'Regan

Mathematics

National University of Singapore

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

7 Citations (Scopus)

Abstract

We present two new existence results for the initial value problem y' = q(t)f(t, y), 0 < t < T, with y(0) = 0. The nonlinearity f is allowed to change sign and singularities at y = 0 and/or t = 0 are discussed.

Original language	English
Pages (from-to)	31-39
Number of pages	9
Journal	Mathematical and Computer Modelling
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/S0895-7177(98)00096-X
Publication status	Published - Aug 1998

Keywords

Existence results
Positive solutions
Singular initial value problems

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10.1016/S0895-7177(98)00096-X

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title = "Positive solutions to singular initial value problems with sign changing nonlinearities",

abstract = "We present two new existence results for the initial value problem y' = q(t)f(t, y), 0 < t < T, with y(0) = 0. The nonlinearity f is allowed to change sign and singularities at y = 0 and/or t = 0 are discussed.",

keywords = "Existence results, Positive solutions, Singular initial value problems",

author = "Agarwal, \{R. P.\} and D. O'Regan",

year = "1998",

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doi = "10.1016/S0895-7177(98)00096-X",

language = "English",

volume = "28",

pages = "31--39",

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TY - JOUR

T1 - Positive solutions to singular initial value problems with sign changing nonlinearities

AU - Agarwal, R. P.

AU - O'Regan, D.

PY - 1998/8

Y1 - 1998/8

N2 - We present two new existence results for the initial value problem y' = q(t)f(t, y), 0 < t < T, with y(0) = 0. The nonlinearity f is allowed to change sign and singularities at y = 0 and/or t = 0 are discussed.

AB - We present two new existence results for the initial value problem y' = q(t)f(t, y), 0 < t < T, with y(0) = 0. The nonlinearity f is allowed to change sign and singularities at y = 0 and/or t = 0 are discussed.

KW - Existence results

KW - Positive solutions

KW - Singular initial value problems

UR - https://www.scopus.com/pages/publications/0032144019

U2 - 10.1016/S0895-7177(98)00096-X

DO - 10.1016/S0895-7177(98)00096-X

M3 - Article

SN - 0895-7177

VL - 28

SP - 31

EP - 39

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 3

ER -

Positive solutions to singular initial value problems with sign changing nonlinearities

Abstract

Keywords

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