Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces.
Peng, Y. (2010)
Abstract and Applied Analysis
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Peng, Y. (2010)
Abstract and Applied Analysis
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Yuansheng Tian, Anping Chen, Weigao Ge (2011)
Czechoslovak Mathematical Journal
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In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional -Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.
Hernández Morales, Eduardo (2002)
International Journal of Mathematics and Mathematical Sciences
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Tomec̆ek, Jan (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Cai, Guolan, Du, Zengji, Ge, Weigao (2006)
International Journal of Mathematics and Mathematical Sciences
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Florent Delmotte, Erik I. Verriest, Magnus Egerstedt (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we solve an optimal control problem using the calculus of variation. The system under consideration is a switched autonomous delay system that undergoes jumps at the switching times. The control variables are the instants when the switches occur, and a set of scalars which determine the jump amplitudes. Optimality conditions involving analytic expressions for the partial derivatives of a given cost function with respect to the control variables are derived using the calculus...
Bajnov, D.D., Kostadinov, S.I., Nguyen Van Minh, Nguyen Hong Thai, Zabrejko, P.P. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Rachůnková, Irena, Tvrdý, Milan (2004)
Abstract and Applied Analysis
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Stéphane Attal (2002)
Séminaire de probabilités de Strasbourg
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