Outline
DOI: 10.14232/ejqtde.2026.1.49 ISSN: 1417-3875
Oscillatory solutions and period-doubling bifurcations of functional differential equations
Michal Fečkan, Július PačutaIn our work, we analyze a first order differential equation that contains a piece-wise constant term. Such equations admit periodic solutions and also, some types of bifurcations may occur. We establish sufficient conditions for local and global stability of the zero solution, existence of nontrivial periodic solutions, and period-doubling bifurcations.
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