EXISTENCE OF SOLUTIONS FOR A CLASS OF SINGULAR NONLINEAR THIRD ORDER AUTONOMOUS BOUNDARY VALUE PROBLEMS

TitleEXISTENCE OF SOLUTIONS FOR A CLASS OF SINGULAR NONLINEAR THIRD ORDER AUTONOMOUS BOUNDARY VALUE PROBLEMS
Publication TypeJournal Article
Year of Publication2011
AuthorsBAXLEY, JOHNV, BALLARD, GREYM
Secondary TitleCommunications in Applied Analysis
Volume15
Issue2
Start Page195
Pagination202
Date Published04/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS35B15.
Abstract
Motivated by a problem which arises in the analysis of stagnation point flow toward a stretching sheet, we consider a general class of problems of the form y′′′ = f (y, y′, y′′), y(0) = a, y′(0) = m, limt→∞y ′ (t) = b. We give conditions on f which imply existence of at least one solution and obtain a partial uniqueness result.
URLhttp://www.acadsol.eu/en/articles/15/2/5.pdf
Short TitleSINGULAR NONLINEAR THIRD ORDER BVPS
Refereed DesignationRefereed
Full Text

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