摘要
研究了Ｂａｎａｃｈ空间中抽象发展方程ｕ′（ｔ）＋Ａｕ（ｔ）＝ｆ（ｔ，ｕ（ｔ））的周期解的唯一存在性及渐近稳定性．这里假设－Ａ仅为Ｃ０－半群的无穷小生成元．取消了以往对Ａ为解析半群的生成元并有紧预解式的假定．
The unique existence and asymptotic stability of periodic solution for evolution equation u′(t)+Au(t)=f(t,u(t)) in a Banach space are studied.Here - A is only assumed as a C 0 semigroup generator. The conditions in former papers that - A is a analytic semigroup generator and has compact resolvent are deleted.The results of the paper can be applied to many mathematical physics equations.
出处
《西北师范大学学报（自然科学版）》
CAS
1997年第3期7-14,共8页
Journal of Northwest Normal University(Natural Science)
关键词
MILD解
周期解
存在性
稳定性
发展方程
C 0 semigroupsmild solutionperiodic solutionexistenceasymptotic stab ility
