Periodic wave solutions in nonlinear equations play a pivotal role in understanding phenomena across fluid dynamics, optical physics, and quantum mechanics. Their stability—whether a wave maintains ...

This paper represents a generalization of the stability result on the Euler-Maruyama solution, which is established in the paper M. Milošević, Almost sure exponential stability of solutions to highly ...

The existence and stability properties of a class of partial functional differential equations are investigated. The problem is formulated as an abstract ordinary functional differential equation of ...

Beijing Zhongke Journal Publising Co. Ltd. The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound implications ...