发展算子弱指数不稳定的充要条件

Banach空间中可测演化上循环的不稳定性

Instabilité des cocycles d'évolution fortement mesurables dans des espaces de Banach

研究了巴拿赫空间中斜发展半流的指数衰减、不稳定、指数不稳定和积分不稳定等渐近行为。这些渐近性质之间的关系也给出了。作为主要结果，证明了两个Datko型定理。提供了一种统一的非均匀方法。

Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations

Necessary and sufficient conditions are explored for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equations with Caputo derivatives. Fractional-order-dependent and fractional-order-independent stability and instability properties are fully characterized, in terms of the main diagonal elements of the systems' matrix, as well as its determinant.

Linear instability of periodic orbits of free period Lagrangian systems

In this paper we provide a sufficient condition for the linear instability of a periodic orbit for a free period Lagrangian system on a Riemannian manifold. The main result establish a general criterion for the linear instability of a maybe degenerate) periodic orbit admitting a orbit cylinder in terms to the parity of a suitable spectral index encoding the functional and symplectic property of the problem.