Anita Kirichuka, Felix Sadyrbaev, "On a System with Multiple Period Annuli," WSEAS Transactions on Systems and Control, vol. 20, pp. 92-99, 2025, DOI:10.37394/23203.2025.20.11
Anita Kirichuka, Felix Sadyrbaev. On a System with Multiple Period Annuli.
WSEAS Transactions on Systems and Control. 2025;20:92-99. 10.37394/23203.2025.20.11
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.
Keywords:
ordinary differential equations, oscillation, period annuli, boundary conditions, multiple positive solutions, Hamiltonian systems
Pages: 92-99 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 20, 2025, Art. #11 DOI: 10.37394/23203.2025.20.11
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