Abstract
The existence of bounded or periodic solution is proved for Hyperbolic systems when the right hand side is perturbed by a control fulfiling a weak controllability property.
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References
Lamberto Cesari, Periodic Solutions of Hyperbolic Partial Diff.Eq., pp.33-57, Int.Symp. on Nonlinear Diff. Eq. and Nonlinear Mechanics, Eds.J.P. La Salle, S.Lefschetz, Academic Press 1963.
C. Vârsan, Approximation and Existence of Periodic Solutions for Controlled Diffusion Equations, Stochastics and Stochastics Reports, vol.30, pp.130–150, 1990.
C. Vârsan, Approximation of Goursat problem for hyperbolic controlled stochastic differential equations, to appear in Revue Roum.Math.Pures Appl.
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© 1992 Springer Basel AG
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Vârsan, C. (1992). Bounded solutions for controlled hyperbolic systems. In: Barbu, V., Tiba, D., Bonnans, J.F. (eds) Optimization, Optimal Control and Partial Differential Equations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 107. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8625-3_12
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DOI: https://doi.org/10.1007/978-3-0348-8625-3_12
Publisher Name: Birkhäuser, Basel
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