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

Autor: Goy, T. P., Negrych, M., Savka, I. Ya.

Publikováno v: Carpathian Mathematical Publications; Vol 10, No 1 (2018); 105-113
Карпатские математические публикации; Vol 10, No 1 (2018); 105-113
Карпатські математичні публікації; Vol 10, No 1 (2018); 105-113

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

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http://journals.pu.if.ua/index.php/cmp/article/view/2182