Free vibrations ofn-dimensional balls
Copyright policy )Free vibrations ofn-dimensional balls
We consider the existence of non-trivial solutions of the problem: \[ u_{tt}-\Delta u+g(u)=0,\quad u_{tt}-\Delta u-g(u)=0,\quad (x,t)\in B\times R \] under the boundary and periodicity conditions: \[ u|_{\partial B^ n}=0,\quad u(x,t+T)=u(x,t), \] where \(B^ n\) is an n-dimensional ball centered at the origin with diameter \(D,T=(b/a)D\); a,b are coprime integers.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Academia Sinica Taiwan
free vibrations, existence, General existence and uniqueness theorems (PDE), Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Initial-boundary value problems for second-order hyperbolic equations, periodicity, Second-order nonlinear hyperbolic equations, Periodic solutions to PDEs
free vibrations, existence, General existence and uniqueness theorems (PDE), Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Initial-boundary value problems for second-order hyperbolic equations, periodicity, Second-order nonlinear hyperbolic equations, Periodic solutions to PDEs
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