On existence conditions for periodic solutions to a differential equation with constant argument
M.I. MuminovSamarkand State University, Samarkand, UzbekistanT.A. RadjabovSamarkand State University, Samarkand, Uzbekistan
ABI
Abstract
We deal with a linear differential equation with piecewise constant argument. The considered equation with the initial condition has the unique solution. We obtain the sufficient conditions for existence of n-periodic solution for the considered problem and describe the positivity conditions for the solution. KEYWORDS partial differential equation, piecewise constant arguments, periodic solution, asymptotically stable