WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
On a System with Multiple Period Annuli
Authors: ,
Abstract: We consider two-point boundary value problems for the Hamiltonian system of the form $$x^{'}= f(x,y), y^{'}=g(x,y)$$, where $$f(x,y)$$ and $$g(x,y)$$ are functions with parameters. We estimate the number of positive and oscillatory solutions for the boundary value problems. Our primary tool is the phase plane analysis combined with evaluations of time map functions. Multiple positive solutions are detected due to multiple period annuli.