The basis property of eigenfunctions in the problem of a nonhomogeneous damped string
The equation which describes the small vibrations of a nonhomogeneous damped string can be rewritten as an abstract Cauchy problem for the densely defined closed operator \(i A\). We prove that the set of root vectors of the operator \(A\) forms a basis of subspaces in a certain Hilbert space \(H\)....
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2017-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol37/1/art/opuscula_math_3706.pdf |