A multi-parameter bifurcation theorem

R. R. Huilgol

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    A bifurcation theorem for the solvability of G(x, λ)=0 is proved when the number of parameters is finite and x is an element of a Banach space. The proof depends on imbedding the given problem into a "higher-dimensional" one and relies on the properties of Fredholm operators. Applications to Hopf bifurcation in finite and infinite dimensions as well as to multiple limit-point bifurcations are indicated.

    Original languageEnglish
    Pages (from-to)1189-1194
    Number of pages6
    JournalSIAM Journal on Applied Mathematics
    Volume42
    Issue number6
    DOIs
    Publication statusPublished - Dec 1982

    Fingerprint

    Dive into the research topics of 'A multi-parameter bifurcation theorem'. Together they form a unique fingerprint.

    Cite this