Optimal boundary control for a time dependent thermistor problem.
Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Tadj, Lotfi, Sarhan, Ammar M., El-Gohary, Awad (2008)
APPS. Applied Sciences
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
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Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
Control and Cybernetics
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Andrei Dmitruk (2009)
Control and Cybernetics
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Mohamed Akkouchi, Abdellah Bounabat, Manfred Goebel (2003)
Annales mathématiques Blaise Pascal
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We study in this paper a Lipschitz control problem associated to a semilinear second order ordinary differential equation with pointwise state constraints. The control acts as a coefficient of the state equation. The nonlinear part of the equation is governed by a Nemytskij operator defined by a Lipschitzian but possibly nonsmooth function. We prove the existence of optimal controls and obtain a necessary optimality conditions looking somehow to the Pontryagin’s maximum principle. These...
Zoubairi, Hakima (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Quang, Ta Hong, Ton, Ta Viet, Linh, Nguyen Thi Hoai (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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S. Migórski (1995)
Annales Polonici Mathematici
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A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are...