Nonlocal approach to problems on longitudinal vibration in a short bar
Date
2019-02-18
Authors
Pulkina, Ludmila S.
Beylin, Alexander B.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Nonlocal problem, Longitudinal vibration, Forth order equation, Dynamical boundary condition, Generalized solution
Citation
Pulkina, 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.
Rights
Attribution 4.0 International