Year: 2025
Type: article
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
Authors: Anita Kirichuka, Felix Sadyrbaev
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410093809