Existence of Periodic Solutions for a Neutral Differential Equation with Piecewise Constant Argument

Abstract

Abstract. By using Mawhin's continuation theorem, the existence of periodic solutions for a neutral di¤erential equation with piecewise constant argument is studied.

Periodic solutions for higher order differential equations with deviating argument

“…In recent years, there are many papers studying the existence of periodic solutions of the first or higher order differential equations [1,[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. For example, in [11], Lu and Ge studied the following differential equations with a deviating argument:…”

Periodic solutions of a neutral differential equation with piecewise constant arguments

“…On the other hand, properties and solutions of delay differential equations with piecewise constant arguments and piecewise constant time delay have received considerable attention by several authors including Wiener [5], Cooke and Wiener [6], Wiener and Cooke [7], Wiener and Debnath [8,9], Gopalsamy et al [10], Lin and Wang [11], Papaschinopoulos and Schinas [12], Huang [13], Shen and Stavroulakis [14] , Wiener and Heller [15], Cooke and Wiener [16], Wang and Cheng [17][18][19] and Wang and Yan [20].…”