Existence criteria for singular initial value problems with sign changing nonlinearities

Ravi P. Agarwal; Donal O'Regan; V. Lakshmikantham

doi:10.13025/23454

Existence criteria for singular initial value problems with sign changing nonlinearities

Ravi P. Agarwal
, Donal O'Regan
, V. Lakshmikantham

Mathematics

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.

Original language	English (Ireland)
Pages (from-to)	503-524
Number of pages	22
Journal	Mathematical Problems In Engineering
Volume	7
Issue number	6
DOIs	https://doi.org/10.13025/23454 https://doi.org/10.1155/s1024123x01001752
Publication status	Published - 1 Jan 2001

Keywords

Existence criteria
Sign changing nonlinearity
Singular initial value problem
Upper and lower solutions

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10.13025/23454Licence: CC BY-NC-ND
10.1155/s1024123x01001752

Cite this

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title = "Existence criteria for singular initial value problems with sign changing nonlinearities",

abstract = "A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.",

keywords = "Existence criteria, Sign changing nonlinearity, Singular initial value problem, Upper and lower solutions",

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

year = "2001",

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doi = "10.13025/23454",

language = "English (Ireland)",

volume = "7",

pages = "503--524",

journal = "Mathematical Problems In Engineering",

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AU - O'Regan, Donal

AU - Lakshmikantham, V.

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Y1 - 2001/1/1

N2 - A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.

AB - A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.

KW - Existence criteria

KW - Sign changing nonlinearity

KW - Singular initial value problem

KW - Upper and lower solutions

UR - http://hdl.handle.net/10379/8800

UR - https://www.scopus.com/pages/publications/0345854812

U2 - 10.13025/23454

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SP - 503

EP - 524

JO - Mathematical Problems In Engineering

JF - Mathematical Problems In Engineering

IS - 6

ER -

Existence criteria for singular initial value problems with sign changing nonlinearities

Abstract

Keywords

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