论文信息 - Continuity of the eigenvalues of nonhomogeneous hinged vibrating rods

Continuity of the eigenvalues of nonhomogeneous hinged vibrating rods

Abstract In this paper we will prove that the eigenvalues of nonhomogeneous hinged vibrating rods have a strongly continuous dependence on weights, i.e., as nonlinear functionals of weights, eigenvalues are continuous in weights with respect to the weak topologies in the Lebesgue spaces L p .

Gang Meng | Hao Feng

[1] Meirong Zhang,et al. Dependence of solutions and eigenvalues of measure differential equations on measures , 2013 .

[2] Meirong Zhang,et al. Continuity in weak topology and extremal problems of eigenvalues of the $p$-Laplacian , 2011 .

[3] Meirong Zhang. Continuity in weak topology: higher order linear systems of ODE , 2008 .

[4] Meirong Zhang,et al. Extremal values of smallest eigenvalues of Hill's operators with potentials in L 1 balls ✩ , 2009 .

[5] Meirong Zhang,et al. Extremal values of eigenvalues of Sturm-Liouville operators with potentials in L 1 balls , 2009 .

[6] R. Courant,et al. Methods of Mathematical Physics , 1962 .

[7] Meirong Zhang,et al. Continuity in weak topology: First order linear systems of ODE , 2010 .