[HTML][HTML] Asymptotic behaviour of a population model with piecewise constant argument

F Karakoç - Applied Mathematics Letters, 2017 - Elsevier
We investigate oscillation about the positive equilibrium point of a population model with
piecewise constant argument. By using linearized oscillation theory for difference equations …

On generalized impulsive piecewise constant delay differential equations

KS Chiu - Science China Mathematics, 2015 - Springer
A variation of parameters formula with Green function type and Gronwall type integral
inequality are proved for impulsive differential equations involving piecewise constant delay …

Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument

F Karakoc, A Unal, H Bereketoglu - Advances in Difference Equations, 2018 - Springer
Oscillation of a nonlinear impulsive differential equation system with piecewise constant
argument | Advances in Continuous and Discrete Models Skip to main content SpringerLink …

Green's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications

K Chiu - Communications Faculty of Sciences University of …, 2021 - dergipark.org.tr
In this paper we investigate the existence of the periodic solutions of a nonlinear impulsive
differential system with piecewise alternately advanced and retarded arguments, in short …

[PDF][PDF] Stability of oscillatory solutions of impulsive differential equations with general piecewise constant arguments of mixed type.

KUOS CHIU - Carpathian Journal of Mathematics, 2025 - carpathian.cunbm.utcluj.ro
We investigate scalar impulsive differential equations with piecewise constant generalized
mixed arguments, abbreviated as the IDEPCAG of mixed type. These equations have …

[PDF][PDF] Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument

M Pinto, R Torres, D Sepulveda - Electronic Journal of Qualitative …, 2018 - real.mtak.hu
In this paper we study a periodic impulsive Hopfield-type neural network system with
piecewise constant argument of generalized type. Under general conditions, existence and …

[HTML][HTML] Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Delay

KS Chiu - Mathematics, 2024 - mdpi.com
In this paper, we investigate differential equations with generalized piecewise constant
delay, DEGPCD in short, and establish the existence and stability of a unique almost …

Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type

KS Chiu - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
We investigate the existence of the periodic solutions of a quasilinear impulsive differential
equation with alternately advanced and retarded arguments of generalized type, in short …

Asymptotical stability of Runge–Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments

GL Zhang, MH Song - Applied mathematics and computation, 2015 - Elsevier
This paper is concerned with a class of advanced linear impulsive differential equations with
piecewise continuous argument. The sufficient and necessary condition for asymptotical …

[HTML][HTML] Stability of Runge–Kutta methods for linear impulsive delay differential equations with piecewise constant arguments

GL Zhang - Journal of Computational and Applied Mathematics, 2016 - Elsevier
This paper is concerned with a class of linear impulsive delay differential equations with
piecewise continuous argument. The conditions for stability of the exact solution are …