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Boundary Control Problem for a Loaded String Vibration Equation

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Abstract A boundary control problem is studied for a model loaded equation of the hyperbolic type. Necessary and sufficient conditions on the initial and terminal functions ensuring the existence of… Click to show full abstract

Abstract A boundary control problem is studied for a model loaded equation of the hyperbolic type. Necessary and sufficient conditions on the initial and terminal functions ensuring the existence of boundary controls are established. Under these conditions, an explicit analytical form of the desired controls is found.

Keywords: equation; control problem; problem loaded; boundary control

Journal Title: Differential Equations
Year Published: 2020

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