2 papers
math.DS2025
Morse Index Theorem for Sturm-Liouville Operators on the Real Line
Ran Yang, Qin Xing
The classical Morse index theorem establishes a fundamental connection between the Morse index-the number of negative eigenvalues that characterize key spectral properties of linea…
math.AP2025
Instability of the Standing Pulse in Skew-Gradient Systems and Its Application to FitzHugh-Nagumo Type Systems
Jing Li, Qin Xing, Ran Yang
Classical results from Sturm-Liouville theory establish that the Morse index of a one-dimensional Sturm-Liouville operator defined on is equal to the number of its ass…