3 citations · 3 across the 8 of their papers we have counts for
5 papers · 1 filter
Decomposition of Spectral flow and Bott-type Iteration Formula
Xijun Hu, Li Wu
Let be a continuous path of Fredhom operators, we first prove that the spectral flow is cogredient invariant. Based on this property, we give a decomposition form…
Singularity of the -th eigenvalue of high dimensional Sturm-Liouville problems
Xijun Hu, Lei Liu, Li Wu +1
It is natural to consider continuous dependence of the -th eigenvalue on -dimensional () Sturm-Liouville problems after the results on -dimensional case by Kong, W…
The Hörmander index in the finite-dimensional case
Yuting Zhou, Li Wu, Chaofeng Zhu
In this paper, we calculate Hörmander index in the finite-dimensional case. Then we use the result to give some iteration inequalities, and prove almost existence of mean indices f…
Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit
Xijun Hu, Li Wu, Ran Yang
In this paper, we prove Morse index theorem of Lagrangian system with any self-adjoint boundary conditions. Based on it, we give some nontrivial estimation on the difference of Mor…
Multiplicity of closed characteristics on -symmetric compact convex hypersurfaces in
Lei Liu, Li Wu
There is a long standing conjecture that there are at least closed characteristics for any compact convex hypersurface in , and the symmetric case, i.e. $Σ…