Controllability results for semilinear functional and neutral functional evolution equations with infinite delay.
Baghli, S., Benchohra, M., Ezzinbi, K. (2009)
Surveys in Mathematics and its Applications
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Baghli, S., Benchohra, M., Ezzinbi, K. (2009)
Surveys in Mathematics and its Applications
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L. Górniewicz, S. K. Ntouyas, D. O'Regan (2006)
Annales Polonici Mathematici
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We prove controllability results for first and second order semilinear differential inclusions in Banach spaces with nonlocal conditions.
Khalil Ezzinbi, Guy Degla, Patrice Ndambomve (2015)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang,...
Vitali C. Dannon, Athanassios G. Kartsatos (1987)
Annales Polonici Mathematici
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Mouffak Benchohra, Lech Górniewicz, Sotiris K. Ntouyas (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Jerzy Klamka (1996)
Kybernetika
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Balachandran, K., Balasubramaniam, P. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Krishnan Balachandran, Rathinasamy Sakthivel (2000)
Kybernetika
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Sufficient conditions for controllability of semilinear functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.
Hugo Leiva (2015)
Nonautonomous Dynamical Systems
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In this paper we prove the interior approximate controllability of the following Semilinear Heat Equation with Impulses and Delay [...] where Ω is a bounded domain in RN(N ≥ 1), φ : [−r, 0] × Ω → ℝ is a continuous function, ! is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be- longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ℝ × ℝ → ℝ are smooth enough, such that [...]...
Sergei Avdonin, Marius Tucsnak (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the simultaneously reachable subspace for two strings controlled from a common endpoint. We give necessary and sufficient conditions for simultaneous spectral and approximate controllability. Moreover we prove the lack of simultaneous exact controllability and we study the space of simultaneously reachable states as a function of the position of the joint. For each type of controllability result we give the sharp controllability time.