Integral bvps for a class of first-order impulsive functional differential equations.
He, Xiaofei, Xie, Jingli, Chen, Guoping, Shen, Jianhua (2010)
International Journal of Differential Equations
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He, Xiaofei, Xie, Jingli, Chen, Guoping, Shen, Jianhua (2010)
International Journal of Differential Equations
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Yang, Xuxin, He, Zhimin, Shen, Jianhua (2009)
Mathematical Problems in Engineering
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Doddaballapur, Vidya, Eloe, Paul W., Zhang, Yongzhi (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhang, Kexue, Liu, Xinzhi (2010)
Journal of Inequalities and Applications [electronic only]
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Eduardo Liz, Juan J. Nieto (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.
Xian, Xu, O'Regan, Donal, Agarwal, R.P. (2008)
Boundary Value Problems [electronic only]
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Cheng, Jin-Fa, Chu, Yu-Ming (2010)
Journal of Inequalities and Applications [electronic only]
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Liu, Yiliang, Liang, Jitai (2010)
Mathematical Problems in Engineering
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John E. Lagnese, G. Leugering (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable...