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 math.SPShow all

4 papers · 1 filter

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.SP2017

Hill-type formula for Hamiltonian system with Lagrangian boundary conditions

Xijun Hu, Yuwei Ou, Penghui Wang

In this paper, we build up Hill-type formula for linear Hamiltonian systems with Lagrangian boundary conditions, which include standard Neumann, Dirichlet boundary conditions. Such…

math.SP2015★ 1 cited

Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions

Xijun Hu, Penghui Wang

Let $λ_{j}$ be the $j$ -th eigenvalue of Sturm-Liouville systems with separated boundary conditions, we build up the Hill-type formula, which represent $j \prod (1 - λ_{j}^{- 1})$ …

math.SP2015

Hill-type formula and Krein-type trace formula for $S$ -periodic solutions in ODEs

Xijun Hu, Penghui Wang

The present paper is devoted to studying the Hill-type formula and Krein-type trace formula for ODE, which is a continuous work of our previous work for Hamiltonian systems \cite{H…

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

Hill-type formula for Hamiltonian system with Lagrangian boundary conditions

Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions

Hill-type formula and Krein-type trace formula for S-periodic solutions in ODEs

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

Hill-type formula and Krein-type trace formula for $S$ -periodic solutions in ODEs