Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval

DOI10.1007/S10625-008-1009-ZzbMath1148.49022OpenAlexW4247084072MaRDI QIDQ944441

E. I. Moiseev, Vladimir Il'in

Publication date: 17 September 2008

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10625-008-1009-z

zbMATH Keywords

optimal controls by elastic boundary forcesstring vibration process

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Vibrations in dynamical problems in solid mechanics (74H45) Wave equation (35L05) Strings (74K05)

Related Items (4)

Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders ⋮ Classical solution of a problem with an integral condition for the one-dimensional wave equation ⋮ Mixed problem for a homogeneous wave equation with a nonzero initial velocity ⋮ Classical solution of a problem with integral conditions of the second kind for the one-dimensional wave equation

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