Infinitely Many Periodic Solutions for Differential Equations with Piecewise Constant Arguments of Mixed Type
M.I. MuminovSamarkand Branch of the Romanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 140104, Samarkand, UzbekistanT.A. RadjabovSamarkand State University, 140104, Samarkand, UzbekistanK. S. ChiuDepartamento de Matemática, Facultad de Ciencias Básicas, Universidad Metropolitana de Ciencias de la Educación, José Pedro Alessandri 774, Santiago, Chile
2026en
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This paper presents a way for locating $$n$$ -periodic solutions to first-order differential equations with piecewise constant arguments of mixed type. The conditions for the existence of $$n$$ -periodic solutions are thoroughly described and criteria for their existence are described in detail. Additionally, an example with simulations is provided, illustrating a case where the problem admits infinitely many solutions.
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