Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems

M. A. El-Gebeily, A. Boumenir, Mohamed Elgindi

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 46 (1993) 345-355. This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of ∂f/∂y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.

Original languageEnglish
Pages (from-to)345-355
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume46
Issue number3
DOIs
Publication statusPublished - 22 Jun 1993
Externally publishedYes

Fingerprint

Singular Boundary Value Problem
Nonlinear Boundary Value Problems
Existence and Uniqueness of Solutions
Boundary value problems
Applied mathematics
Unique Solution
Differential operator
Closure
Intersection
Boundary conditions
Nonlinearity
Denote
Range of data
Class

Keywords

  • contraction mapping theorem
  • existence
  • limit circle case
  • limit point case
  • montone operators
  • Singular two-point boundary value problems
  • uniqueness

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems. / El-Gebeily, M. A.; Boumenir, A.; Elgindi, Mohamed.

In: Journal of Computational and Applied Mathematics, Vol. 46, No. 3, 22.06.1993, p. 345-355.

Research output: Contribution to journalArticle

@article{5aff1daddf1d4a49929328e51ad399f2,
title = "Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems",
abstract = "El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 46 (1993) 345-355. This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of ∂f/∂y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.",
keywords = "contraction mapping theorem, existence, limit circle case, limit point case, montone operators, Singular two-point boundary value problems, uniqueness",
author = "El-Gebeily, {M. A.} and A. Boumenir and Mohamed Elgindi",
year = "1993",
month = "6",
day = "22",
doi = "10.1016/0377-0427(93)90031-6",
language = "English",
volume = "46",
pages = "345--355",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems

AU - El-Gebeily, M. A.

AU - Boumenir, A.

AU - Elgindi, Mohamed

PY - 1993/6/22

Y1 - 1993/6/22

N2 - El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 46 (1993) 345-355. This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of ∂f/∂y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.

AB - El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 46 (1993) 345-355. This paper is concerned with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is shown that the problem has a unique solution only for certain boundary conditions under the assumption that the range of ∂f/∂y has empty intersection with the closure of the spectrum of the singular differential operator, where f denotes the nonlinearity.

KW - contraction mapping theorem

KW - existence

KW - limit circle case

KW - limit point case

KW - montone operators

KW - Singular two-point boundary value problems

KW - uniqueness

UR - http://www.scopus.com/inward/record.url?scp=0001428939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001428939&partnerID=8YFLogxK

U2 - 10.1016/0377-0427(93)90031-6

DO - 10.1016/0377-0427(93)90031-6

M3 - Article

VL - 46

SP - 345

EP - 355

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 3

ER -