The inverse problem of recovering the coefficients of a differential equations on a graphстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 30 июня 2021 г.
Аннотация:We consider a new class of inverse problems on the recovery of the coefficients of differential equa-tions from a finite set of eigenvalues of a boundary value problem with unseparated boundary conditions.A finite number of eigenvalues is possible only for problems in which the roots of the characteristic equationare multiple. The article describes solutions to such a problem for equations of the second, third, and fourthorders on a graph with three, four, and five edges. The inverse problem with an arbitrary number of edges issolved similarly.