Nonstationary solutions to symmetric systems of second-order differential equations
Volume 134 / 2025
Annales Polonici Mathematici 134 (2025), 265-296
MSC: Primary 34C25; Secondary 37C81, 47H11, 55M25, 19A22
DOI: 10.4064/ap240128-3-3
Published online: 14 March 2025
Abstract
We establish the existence of nonstationary solutions to a symmetric system of second-order autonomous differential equations. Our technique is based on the equivariant degree theory and involves a novel characterization of orbit types of maximal kind in the Burnside ring product of a finite number of basic degrees for the group $O(2) \times \Gamma \times \mathbb Z_2$.
