UNIQUENESS IMPLIES UNIQUENESS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS

TitleUNIQUENESS IMPLIES UNIQUENESS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2007
AuthorsGRAY MICHAEL
JournalDynamic Systems and Applications
Volume16
Start Page277
Pagination8
Date Published2007
ISSN1056-2176
AMS Subject Classification34B10
Abstract

It is assumed that solutions of the differential equation y''' = f( x, y, y', y'' ), with certain boundary conditions comprised of function values at m + n points, are unique, when they exist. It is shown that, for any integers p and q such that 1 ≤ p ≤ m,  1 < q ≤ n,  solutions for similar boundary value problems are unique, when they exist.
PDFhttps://acadsol.eu/dsa/articles/16/277-284-DSA-26-12-Gray.pdf
Refereed DesignationRefereed