Forward dynamical problem for the Timoshenko beam |
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| Authors: | M. I. Belishev A. L. Pestov |
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| Affiliation: | 1.St.Petersburg Department of the Steklov Mathematical Institute,St.Petersburg,Russia |
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| Abstract: | The initial boundary value problem | $ {*{20}{c}} {rho {u_{tt}} - {{left( {Gamma {u_x}} right)}_x} + A{u_x} + Bu = 0,} hfill & {x > 0,quad 0 < t < T,} hfill {uleft| {_{t = 0}} right. = {u_t}left| {_{t = 0}} right. = 0,} hfill & {x geq 0,} hfill {uleft| {_{x = 0}} right. = f,} hfill & {0 leq t leq T,} hfill $ begin{array}{*{20}{c}} {rho {u_{tt}} - {{left( {Gamma {u_x}} right)}_x} + A{u_x} + Bu = 0,} hfill & {x > 0,quad 0 < t < T,} hfill {uleft| {_{t = 0}} right. = {u_t}left| {_{t = 0}} right. = 0,} hfill & {x geq 0,} hfill {uleft| {_{x = 0}} right. = f,} hfill & {0 leq t leq T,} hfill end{array} |
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