Xijun Hu

activity

20072023

most citedTrace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions

32 citations · 94 across the 28 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.FA2018★ 1 cited

Decomposition of Spectral flow and Bott-type Iteration Formula

Xijun Hu, Li Wu

Let $A (t)$ be a continuous path of Fredhom operators, we first prove that the spectral flow $s f (A (t))$ is cogredient invariant. Based on this property, we give a decomposition form…

math.SP2018★ 1 cited

Singularity of the $n$ -th eigenvalue of high dimensional Sturm-Liouville problems

Xijun Hu, Lei Liu, Li Wu +1

It is natural to consider continuous dependence of the $n$ -th eigenvalue on $d$ -dimensional ( $d \geq 2$ ) Sturm-Liouville problems after the results on $1$ -dimensional case by Kong, W…

math.DS2018

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…

Decomposition of Spectral flow and Bott-type Iteration Formula

Singularity of the n-th eigenvalue of high dimensional Sturm-Liouville problems

Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit

Singularity of the $n$ -th eigenvalue of high dimensional Sturm-Liouville problems