Name
Abstract | ||
|---|---|---|
In this paper we prove that the eigenvalues of a vibrating beam have a strongly continuous dependence on the elastic destructive force, i.e., the eigenvalues, as nonlinear functionals of the elastic destructive force, are continuous in the elastic destructive force with respect to the weak topologies in the Lebesgue spaces Lp. In virtue of the minimax characterization for eigenvalues, we prove first the continuity of the lowest eigenvalue and then all the eigenvalues by the induction principle. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.aml.2016.12.006 | Applied Mathematics Letters |
Keywords | Field | DocType |
Eigenvalue,Continuity,Weak topology | Weak topology,Mathematical optimization,Minimax,Nonlinear system,Mathematical analysis,Lp space,Network topology,Beam (structure),Elasticity (economics),Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | ISSN | Citations |
67 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin Jiang | 1 | 4 | 3.14 |
| Kairong Liu | 2 | 0 | 0.34 |
| gang meng | 3 | 4 | 5.39 |
| zhikun she | 4 | 242 | 22.74 |