Aniq fanlar

Existence conditions for periodic solutions for differential equations with piecewise constant arguments of mixed type

First order differential equations, piecewise constant arguments, periodic solution.

Authors

  • Tirkash Radjabov Samarkand State University, Samarkand, 140104 Uzbekistan, Uzbekistan
  • Jasurbek Nurmurodov Samarkand Branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Uzbekistan, Uzbekistan
  • Nizomiddin Aliev Head of the Department of Scientific Researchs and Innovations National University of Uzbekistan named after Mirzo Ulugbek, Uzbekistan

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 an explicit formula for these solutions is derived.
Additionally, an example is provided, illustrating a case where the problem admits infinitely many
solutions.