Pulkina, Ludmila S.Beylin, Alexander B.2021-10-252021-10-252019-02-18Pulkina, L. S., & Beylin, A. B. (2019). Nonlocal approach to problems on longitudinal vibration in a short bar. <i>Electronic Journal of Differential Equations, 2019</i>(29), pp. 1-9.1072-6691https://hdl.handle.net/10877/14727In this article, we consider a problem with dynamic nonlocal conditions for a forth-order PDE with dominating mixed derivative. This problem is closely related to vibration problems, in particular, to longitudinal vibration in a short bar. The existence and uniqueness of a generalized solution are proved.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalNonlocal problemLongitudinal vibrationForth order equationDynamical boundary conditionGeneralized solutionArticle