On nonlocal boundary value problem for the equation of motion of a homogeneous elastic beam with pinned-pinned ends

In the current paper, in the domain $D=\{(t,x): t\in(0,T), x\in(0,L)\}$ we investigate the boundary value problem for the equation of motion of a homogeneous elastic beam $$ u_{tt}(t,x)+a^{2}u_{xxxx}(t,x)+b u_{xx}(t,x)+c u(t,x)=0, $$ where  $a,b,c \in \mathbb{R}$, $b^2<4a^2c$, with nonlocal two-p...

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Bibliographic Details
Main Authors: T.P. Goy, M. Negrych, I.Ya. Savka
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2018-07-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1474