摘要
本文考虑抽象空间中一类二阶发展方程非局部问题.在非线性项满足一定条件的情形下,运用算子半群理论及相关不动点定理得到了所研究问题mild解的存在性.
In this paper,we study the nonlocal problem of a class of second-order evolution equations in abstract space. By using the theory of operator semigroup and related fixed point theorem,the existence of mild solutions is built under some appropriate conditions of the nonlinear term.
作者
史伟
赵思宇
马婷
SHI Wei;ZHAO Siyu;MA Ting(College of Mathematics and Physics,Xinjiang Agricultural University,Urumqi 830000,China)
出处
《内蒙古农业大学学报（自然科学版）》
CAS
北大核心
2019年第1期88-91,共4页
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
关键词
发展方程
非局部问题
算子半群
MILD解
存在性
Evolution equations
nonlocal problem
operator semigroup
mild solution
existence
