Asymptotic behavior of the solutions of a partial differential equation with piecewise constant argument
Gesthimani Stefanidou, Garyfalos Papaschinopoulos · Mathematical Methods in the Applied Sciences · 2022
In this paper, we study the partial differential equation with piecewise constant argument of the form: where is a invertible and continuous matrix function on ; , , and are continuous and bounded matrix functions on ; and are the integral parts of and , respectively; and is a continuous function. More precisely, under some conditions on the matrices , , , and and the function , we investigate the asymptotic behavior of the solutions of the above equation.