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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=vasylstefany::e99a774cccd42f6f52121cd8480d264d
http://journals.pu.if.ua/index.php/cmp/article/view/2182

Перiодичнi розв’язки у просторi Соболєва для рiвняння iз частинними похiдними, коефiцiєнти якого залежать вiд параметра

Autor: Il'kiv, V. S., Savka, I. Ya., Symotyuk, M. M.

Publikováno v: Carpathian Mathematical Publications; Vol 5, No 2 (2013); 249-255
Карпатские математические публикации; Vol 5, No 2 (2013); 249-255
Карпатські математичні публікації; Vol 5, No 2 (2013); 249-255

The conditions of existence and uniqueness of Sobolev periodic solution for linear partial differential equation with constant complex coefficients, which depends on one real parameter, are established. It is shown that these conditions fulfill for a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=vasylstefany::45bcdb03069b940e3fff68b522134fd5
http://journals.pu.if.ua/index.php/cmp/article/view/224