A Second-Order Nonlinear Problem with Two-Point and Integral Boundary Conditions

The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence resul...

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Bibliographic Details
Published inGeorgian mathematical journal Vol. 1; no. 3; pp. 243 - 249
Main Author Brykalov, S. A.
Format Journal Article
LanguageEnglish
Published Walter de Gruyter GmbH & Co. KG 01.06.1994
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ISSN1072-947X
1072-9176
1572-9176
DOI10.1515/GMJ.1994.243

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Summary:The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [Brykalov, Differential Equations 27: 1415-1420, 1991].
Bibliography:istex:6D80C4FAE3F825A8EC00FD676A9B6D6B013409F7
ark:/67375/QT4-JX2JMMPQ-M
gmj.1994.243.pdf
ArticleID:GMJ.1.3.243
ISSN:1072-947X
1072-9176
1572-9176
DOI:10.1515/GMJ.1994.243