BIFURCATION FROM INTERVAL AND POSITIVE SOLUTIONS FOR SECOND ORDER PERIODIC BOUNDARY VALUE PROBLEMS

TitleBIFURCATION FROM INTERVAL AND POSITIVE SOLUTIONS FOR SECOND ORDER PERIODIC BOUNDARY VALUE PROBLEMS
Publication TypeJournal Article
Year of Publication2010
AuthorsMA RUYUN, XU JIA
JournalDynamic Systems and Applications
Volume19
Start Page211
Pagination14
Date Published2010
ISSN1056-2176
AMS Subject Classification34B10, 34G20
Abstract

We give a global description of the branches of positive solutions of second order periodic boundary value problems

                                        u′′− q(t)u + λa(t) f(u)= 0,                       0 < t < 2π,

                                       u(0) = u(2π),   u′(0) = u′(2π)

which are not necessarily linearizable. Our approach based on topological degree and global bifurcation techniques.
PDFhttps://acadsol.eu/dsa/articles/19/16-DSA-240.pdf
Refereed DesignationRefereed