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Original Articles

Advanced impulsive differential equations with piecewise constant arguments

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Pages 175-187 | Received 13 Jul 2009, Published online: 09 Jun 2011

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Read on this site (2)

Zhaolin Yan & Jianfang Gao. (2023) Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments. International Journal of Computer Mathematics 100:12, pages 2251-2268.
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Pengyan Liu, Liang Zhang, Shitao Liu & Lifei Zheng. (2017) Global Exponential Stability of Almost Periodic Solutions for Nicholson’s Blowflies System with Nonlinear Density-Dependent Mortality Terms and Patch Structure. Mathematical Modelling and Analysis 22:4, pages 484-502.
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Articles from other publishers (20)

Musa Emre Kavgaci, Huda Al Obaidi & Huseyin Bereketoglu. (2023) Some results on a first-order neutral differential equation with piecewise constant mixed arguments. Periodica Mathematica Hungarica.
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Liangcai Mei, Boying Wu & Yingzhen Lin. (2022) Linear Multistep Method for Advanced IDEs with Piecewise Constant Arguments. Journal of Mathematics 2022, pages 1-7.
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Kuo-Shou Chiu. (2022) Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type. Rocky Mountain Journal of Mathematics 52:1.
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Fatma Karakoç. 2020. Progress on Difference Equations and Discrete Dynamical Systems. Progress on Difference Equations and Discrete Dynamical Systems 269 278 .
Fatma Karakoc, Arzu Unal & Huseyin Bereketoglu. (2018) Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument. Advances in Difference Equations 2018:1.
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Qi Wang. (2018) Stability of numerical solution for partial differential equations with piecewise constant arguments. Advances in Difference Equations 2018:1.
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Tianhu Yu & Dengqing Cao. (2017) Stability Analysis of Impulsive Neural Networks with Piecewise Constant Arguments. Neural Processing Letters 47:1, pages 153-165.
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Manuel Pinto, Ricardo Torres & Daniel Sepúlveda. (2018) Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument. Electronic Journal of Qualitative Theory of Differential Equations:34, pages 1-28.
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Gui-Lai Zhang. (2017) Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments. Advances in Difference Equations 2017:1.
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Kuo-Shou Chiu. (2017) Exponential Stability and Periodic Solutions of Impulsive Neural Network Models with Piecewise Constant Argument. Acta Applicandae Mathematicae 151:1, pages 199-226.
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Fatma Karakoç. (2017) Asymptotic behaviour of a population model with piecewise constant argument. Applied Mathematics Letters 70, pages 7-13.
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Gui-Lai Zhang. (2016) Asymptotical stability of Runge-Kutta for a class of impulsive differential equations. Advances in Difference Equations 2016:1.
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G.L. Zhang. (2016) Stability of Runge–Kutta methods for linear impulsive delay differential equations with piecewise constant arguments. Journal of Computational and Applied Mathematics 297, pages 41-50.
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Qi Wang, Xiaoming Wang, Yucheng Xie & Ling Chen. (2015) Preservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type. Journal of Inequalities and Applications 2015:1.
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Kuo-Shou Chiu. (2015) On generalized impulsive piecewise constant delay differential equations. Science China Mathematics 58:9, pages 1981-2002.
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G.L. Zhang & M.H. Song. (2015) Asymptotical stability of Runge–Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments. Applied Mathematics and Computation 259, pages 831-837.
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Kuo-Shou Chiu. (2013) Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument. Abstract and Applied Analysis 2013, pages 1-13.
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Manuel de La Sen, Asier Ibeas & Aitor J. Garrido. (2012) On Asymptotically Non-Expansive Self-Maps in Metric Spaces and Related Stability of Dynamic Systems. Advanced Materials Research 588-589, pages 2140-2150.
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G. L. Zhang, M. H. Song & M. Z. Liu. (2012) Asymptotic Stability of a Class of Impulsive Delay Differential Equations. Journal of Applied Mathematics 2012, pages 1-9.
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Kaining Wu & Xiaohua Ding. (2012) Stability and Stabilization of Impulsive Stochastic Delay Differential Equations. Mathematical Problems in Engineering 2012, pages 1-16.
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