3 papers
math.FA2022
A Note on the Krein-Rutman Theorem for Sectorial Operators
Desheng Li, Ruijing Wang, Luyan Zhou
In this note we present some generalized versions of the Krein-Rutman theorem for sectorial operators. They are formulated in a fashion that can be easily applied to elliptic opera…
math.DS2018
Global Bifurcation of Dynamical Systems and Nonlinear Evolution Equations
Luyan Zhou, Desheng Li
We establish new global bifurcation theorems for dynamical systems in terms of local semiflows on complete metric spaces. These theorems are applied to the nonlinear evolution equa…
eess.SY2016
Symplectic Geometric Algorithm for Quaternion Kinematical Differential Equation
Hong-Yan Zhang, Lu-Sha Zhou, Zi-Hao Wang +2
Solving quaternion kinematical differential equations is one of the most significant problems in the automation, navigation, aerospace and aeronautics literatures. Most existing ap…