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Existence of Solutions of an Ill-Posed Problem for the Vibrating String
Published online by Cambridge University Press: 20 November 2018
Abstract
The Dirichlet problem is examined for the vibrating string equation on a rectangle with commensurable sides. As is well-known, a solution, if it exists, is not unique. A necessary and sufficient condition is obtained on the boundary values for existence of solutions. A simple formula for the solution is obtained.
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- Copyright © Canadian Mathematical Society 1982