Existence of periodic solutions of impulsive differential systems.
Erbe, L.H., Liu, Xinzhi (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Erbe, L.H., Liu, Xinzhi (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Wang, Jinrong, Xiang, X., Wei, W. (2007)
Advances in Difference Equations [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Fixed Point Theory and Applications [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W. (2008)
Mathematical Problems in Engineering
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Wang, Jinrong, Xiang, X., Wei, W. (2008)
Abstract and Applied Analysis
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Discrete Dynamics in Nature and Society
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Journal of Inequalities and Applications [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yingjie Bi, Zhidan Cai, Shuai Wang (2024)
Applications of Mathematics
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The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating...
Aydin Huseynov (2011)
Applications of Mathematics
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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Mario Girardi, Michele Matzeu (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.