Title

Existence And Nonuniqueness Of Solutions Of A Singular Nonlinear Boundary-Layer Problem

Abstract

Sufficient conditions for existence and nonuniqueness of positive solutions of the singular boundary value problem g(x) g″(x) + h(x) = 0, -k ≤ x < 1, k > 0, g′(-k) = C, g(1) = 0 are obtained. Also, it is proved that the solutions with g(-k) > -Ck (for C < 0) and g(-k) > ( k 2) √ -2h(-k) (for C > 0) are unique. Furthermore, it is shown numerically that for h(x) = x there are exactly two Solutions for the problem. © 1991.

Publication Date

7-15-1991

Publication Title

Journal of Mathematical Analysis and Applications

Volume

159

Issue

1

Number of Pages

251-270

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0022-247X(91)90234-Q

Socpus ID

0001519016 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0001519016

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