Asymptotic constancy for a system of impulsive pantograph equations

Asymptotic Behavior and Stability in Linear Impulsive Delay Differential Equations with Periodic Coefficients

“…However, there are limited investigations concerning the corresponding theory of impulsive delay differential equations [9][10][11][12][13][14][15][16][17][18][19]. They also obtained very interesting results regarding the long time behavior of solutions of linear homogeneous or non-homogeneous impulsive delay differential equations [20][21][22][23][24][25][26][27][28][29]. The mathematical models are satisfying for different processes in science and technology [30][31][32][33][34][35][36][37][38][39][40].…”

Convergence of solutions of an impulsive differential system with a piecewise constant argument

“…In [12] Diblik and Ruzickova studied the asymptotic behavior of the solutions of the …rst order di¤erential equation containing two delays. Bereketoglu and Karakoc [4] obtained su¢ cient conditions for the asymptotic constancy of solutions for an impulsive di¤erential equations. Su¢ cient conditions for the asymptotic constancy and asymptotic convergence of solutions of an initial value problem for impulsive 116 GIZEM .…”

“…derived su¢ cient conditions for the convergence of solutions of a nonhomogeneous linear system of impulsive delay di¤erential equations and a limit formula in [13]. In [5] Bereketoglu and Karakoc obtained su¢ cient conditions for the asymptotic constancy of the solutions of a system of nonhomogeneous linear impulsive pantograph equations. In [16], [7], [8] and [6] authors considered the asymptotic constancy of di¤erent types of impulsive di¤erential equations with piecewise constant arguments and formulated the limit value of the solutions in terms of the initial condition and the solution of the integral equation for each type of equations.…”

On a certain impulsive differential system with piecewise constant arguments

“…The books [1][2][3] are good sources for the study of impulsive differential equations and their applications. In addition to these, there exist many papers that investigate the behaviour of solutions of impulsive differential equations [4][5][6][7][8].…”