Abstract
In this paper we use the topological degree to estimate the minimal number of solutions of the λ-slices of the semi-bounded and bounded components of a general class of fixed point equations depending on a real parameter λ by means of the signature of the component. The signature is defined as the set of bifurcation intervals from a given state together with all changes of the local index of the state. Calculating the minimal number of solutions of the component slices enables us to ascertain its minimal complexity in terms of graph theory, at least for a generic family of non-degenerate situations, where the general theory of this paper provides the minimal (canonical) structure of the component.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
