摘要
运用分数幂算子、逐次逼近法及不动点定理研究Hilbert空间中的非自治中立型随机时滞发展方程mild解的存在唯一性。考虑到无界线性算子族A(t)可以在Hilbert空间中生成唯一的线性发展系统{U(t,s):0≤s≤t≤T},且方程中的非线性项不满足Lipschitz条件,使得所讨论的方程作为数学模型更符合实际应用。
In this paper,we mainly use fractional power operator,successive approximation method and fixed point theorem to study the existence and uniqueness of mild solutions for nonautonomous neutral stochastic delay evolution equation in Hilbert spaces.Considering that the unbounded family of linear operators A(t)can generate a unique linear evolution system{U(t,s):0≤s≤t≤T}in Hilbert spaces,and the nonlinear term in the equation does not satisfy Lipschitz conditions,the equation is more suitable for practical application as a mathematical model.
作者
宋玉莹
范虹霞
SONG Yuying;FAN Hongxia(College of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China)
出处
《武汉大学学报(理学版)》
CAS
CSCD
北大核心
2022年第5期520-528,共9页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金(11561040)
甘肃省自然科学基金(20JR5RA418)