机构地区: 广西科技大学电子与信息工程学院
出 处: 《应用数学》 2011年第4期705-711,共7页
摘 要: 本文在系数为非Lipschitz条件下(Lipschitz和线性增长作为其特例),通过构造逐次逼近列的方法证明了随机波动方程适度解的存在唯一性. Under a non-Lipschitz condition with the Lipschitz condition being considered as a special case and a weakened linear growth condition,we prove existence and uniqueness of mild solution for stochastic wave equation by investigating the convergence of the successive approximations.