A class of impulsive pulse-width sampler systems and its steady-state control in infinite dimensional spaces.
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Wang, Jinrong, Wei, W., Yang, Yanlong (2010)
Abstract and Applied Analysis
Nedorezov, L.V., Utyupin, Yu.V. (2003)
Sibirskij Matematicheskij Zhurnal
Changming Ding (2014)
Annales Polonici Mathematici
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
Hernández Morales, Eduardo (2002)
International Journal of Mathematics and Mathematical Sciences
Agarwal, Ravi P., Karakoç, Fatma, Zafer, Ağacık (2010)
Advances in Difference Equations [electronic only]
Kostadinov, S.I., Stamov, G.T. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Mouffak Benchohra, Abdelkader Boucherif (2000)
Archivum Mathematicum
In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
Ahmad, Bashir, Alsaedi, Ahmed (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Baek, Hunki (2009)
Discrete Dynamics in Nature and Society
Baek, Hunki, Do, Younghae, Saito, Yasuhisa (2009)
Mathematical Problems in Engineering
Bajnov, D.D., Khristova, S.G. (1993)
Journal of Applied Mathematics and Stochastic Analysis
Stamov, G. (1996)
Serdica Mathematical Journal
The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.
Akça, Haydar, Al-Zahrani, Eada Ahmed, Covachev, Valéry (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Wen, Kun-Wen, Wang, Gen-Qiang, Cheng, Sui Sun (2010)
Abstract and Applied Analysis
D. D. Bainov, S. I. Kostadinov, A. D. Myshkis (1990)
Publicacions Matemàtiques
By means of Schauder's fixed point theorem sufficient conditions for asymptotic equivalence of impulsive equations in a Banach space are found.
Ignat'ev, A.O. (2008)
Sibirskij Matematicheskij Zhurnal
Svetla Dimitrova Milusheva, Drumi Dimitrov Bainov (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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