Uncertain wave equation with infinite half-boundary

摘要

Wave equation is a type of second-order and hyperbolic partial differential equation. It is a commonly used tool to model many kinds of wave propagations such as sound wave, electromagnetic wave, water wave and string vibration propagations. Similarly, uncertain wave equation is a type of uncertain partial equation driven by Liu process, which is widely used to model the wave propagation with uncertain noise such as vibrating string in uncertain environment. The existing literature has studied uncertain wave equation with infinite boundary. Since infinite boundary is a much ideal condition, this paper aims at studying the uncertain wave equation with infinite half-boundary.