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Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 1-2
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Original Articles

Sufficient conditions for absence of ”beating” in systems of differential equations with impulses

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Pages 67-73 | Published online: 02 May 2007

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G. K. Kulev & D. D. Bainov. (1990) On the global stability of sets for impulsive differential systems by Lyapunov's direct method. Dynamics and Stability of Systems 5:3, pages 149-162.
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Articles from other publishers (25)

Huifu Xia, Yunfei Peng & Peng Zhang. (2024) Existence and Properties of the Solution of Nonlinear Differential Equations with Impulses at Variable Times. Axioms 13:2, pages 126.
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Wei Ren, Tao Yu & Junlin Xiong. (2020) Stability Analysis of Impulsive Switched Systems with Time Delays and State-dependent Impulses. Stability Analysis of Impulsive Switched Systems with Time Delays and State-dependent Impulses.
Wei Ren & Junlin Xiong. (2019) Stability Analysis of Impulsive Switched Time-Delay Systems With State-Dependent Impulses. IEEE Transactions on Automatic Control 64:9, pages 3928-3935.
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Yunfei Peng, Kuilin Wu, Shulin Qin & Ying Kang. (2017) Properties of solution of linear controlled systems with impulses at variable times. Properties of solution of linear controlled systems with impulses at variable times.
Xilin Fu & Shasha Zheng. (2014) New approach in dynamics of regenerative chatter research of turning. Communications in Nonlinear Science and Numerical Simulation 19:11, pages 4013-4023.
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Xilin Fu & Shasha Zheng. (2014) Chatter dynamic analysis for Van der Pol Equation with impulsive effect via the theory of flow switchability. Communications in Nonlinear Science and Numerical Simulation 19:9, pages 3023-3035.
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Marat AkhmetMarat Akhmet. 2010. Principles of Discontinuous Dynamical Systems. Principles of Discontinuous Dynamical Systems 55 80 .
Xianning Liu & Lansun Chen. (2005) Global behaviors of a generalized periodic impulsive Logistic system with nonlinear density dependence. Communications in Nonlinear Science and Numerical Simulation 10:3, pages 329-340.
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Shaozhu Chen, Jiangang Qi & Mingzhong Jin. (2003) Pulse phenomena of second-order impulsive differential equations with variable moments. Computers & Mathematics with Applications 46:8-9, pages 1281-1287.
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Ignacio Bajo. (1997) Pulse Accumulation in Impulsive Differential Equations with Variable Times. Journal of Mathematical Analysis and Applications 216:1, pages 211-217.
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N. A. Perestyuk & O. S. Chernikova. (1997) Stability of solutions of pulsed systems. Ukrainian Mathematical Journal 49:1, pages 109-123.
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Drumi Bainov, Angel Dishliev & Snezhana Hristova. 1997. Multivariate Approximation and Splines. Multivariate Approximation and Splines 13 27 .
G.K. Kulev. (1992) Uniform asymptotic stability in impulsive perturbed systems of differential equations. Journal of Computational and Applied Mathematics 41:1-2, pages 49-55.
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M.Rama Mohana Rao, Sanjay K Srivastava & S Sivasundaram. (1992) Stability of Volterra integro-differential equations with impulsive effect. Journal of Mathematical Analysis and Applications 163:1, pages 47-59.
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G.K. Kulev & D.D. Bainov. (1990) Global stability of sets for impulsive differential systems by Lyapunov's direct method. Computers & Mathematics with Applications 19:2, pages 17-28.
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G.K Kulev & D.D Bainov. (1989) On the asymptotic stability of systems with impulses by the direct method of Lyapunov. Journal of Mathematical Analysis and Applications 140:2, pages 324-340.
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G.K. Kulev & D.D. Bainov. (1989) Global stability of sets for systems with impulses. Applied Mathematics and Computation 29:3, pages 255-270.
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Shouchuan Hu, V Lakshmikantham & S Leela. (1989) Impulsive differential systems and the pulse phenomena. Journal of Mathematical Analysis and Applications 137:2, pages 605-612.
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G. K. Kulev & D. D. Bainov. (1989) Stability of sets for impulsive systems. International Journal of Theoretical Physics 28:2, pages 195-207.
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S.D. Milusheva & D.D. Bainov. (1988) A projection-iterative method for solving the periodic problem for integrodifferential equations with impulse effect. Applied Mathematics and Computation 28:4, pages 337-352.
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A.B Dishliev & D.D Bainov. (1988) Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces. Journal of Mathematical Analysis and Applications 135:2, pages 369-382.
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G.K. Kulev & D.D. Bainov. (2009) Asymptotic stability of systems with impulses by the direct method of Lyapunov. Bulletin of the Australian Mathematical Society 38:1, pages 113-123.
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G. K. Kulev & D. D. Bainov. (1988) Strong stability of impulsive systems. International Journal of Theoretical Physics 27:6, pages 745-755.
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G.K. KULEV & D.D. BAINOV. (1988) ON THE ASYMPTOTIC STABILITY OF SYSTEMS WITH IMPULSES BY THE DIRECT METHOD OF LYAPUNOV. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 7:3, pages 123-133.
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P.S Simeonov & D.D Bainov. (1987) Stability with respect to part of the variables in systems with impulse effect. Journal of Mathematical Analysis and Applications 124:2, pages 547-560.
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