Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach

R. P. Agarwal; Donal O'Regan; V. Lakshmikantham; S. Leela

doi:10.1016/S0362-546X(01)00747-7

Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach

R. P. Agarwal
, Donal O'Regan
, V. Lakshmikantham
, S. Leela

Mathematics

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

32 Citations (Scopus)

Abstract

The existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach was discussed. The singular problem was approximated by a sequence of non-singular problems and a solution for each approximating problems was generated using standard results from the classical theory of upper and lower solutions. The results showed that the obtained sequences converge to a solution of the given singular problem.

Original language	English
Pages (from-to)	215-222
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	50
Issue number	2
DOIs	https://doi.org/10.1016/S0362-546X(01)00747-7
Publication status	Published - Jul 2002

Keywords

Approximate solutions
Existence theory
Singular initial and boundary value problems
Upper and lower solutions

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10.1016/S0362-546X(01)00747-7

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title = "Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach",

abstract = "The existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach was discussed. The singular problem was approximated by a sequence of non-singular problems and a solution for each approximating problems was generated using standard results from the classical theory of upper and lower solutions. The results showed that the obtained sequences converge to a solution of the given singular problem.",

keywords = "Approximate solutions, Existence theory, Singular initial and boundary value problems, Upper and lower solutions",

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

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pages = "215--222",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach. / Agarwal, R. P.; O'Regan, Donal; Lakshmikantham, V. et al.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 50, No. 2, 07.2002, p. 215-222.

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

TY - JOUR

T1 - Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach

AU - Agarwal, R. P.

AU - O'Regan, Donal

AU - Lakshmikantham, V.

AU - Leela, S.

PY - 2002/7

Y1 - 2002/7

N2 - The existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach was discussed. The singular problem was approximated by a sequence of non-singular problems and a solution for each approximating problems was generated using standard results from the classical theory of upper and lower solutions. The results showed that the obtained sequences converge to a solution of the given singular problem.

AB - The existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach was discussed. The singular problem was approximated by a sequence of non-singular problems and a solution for each approximating problems was generated using standard results from the classical theory of upper and lower solutions. The results showed that the obtained sequences converge to a solution of the given singular problem.

KW - Approximate solutions

KW - Existence theory

KW - Singular initial and boundary value problems

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/0036642746

U2 - 10.1016/S0362-546X(01)00747-7

DO - 10.1016/S0362-546X(01)00747-7

M3 - Article

SN - 0362-546X

VL - 50

SP - 215

EP - 222

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach

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Keywords

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