摘要
讨论抽象发展方程 u'(t)+A(t)u(t)=g(t,u(t))的周期解存在问题,所得结果推广了〔6,7,8〕的结论.这些结果应用于抛物型周期边值问题,得出若干新结果。
In this paper,periodic solutions of the evolution equation u'(t)+A(t)u(t)= g(t,u(t))are dealt with.Some new theorems extend some results of[6,7,8], By applying these theorems to parabolic partial differential equations,some new periodic solution results are obtained.
出处
《西北师范大学学报（自然科学版）》
CAS
1990年第2期1-8,共8页
Journal of Northwest Normal University(Natural Science)
关键词
发展方程
周期解
抛物型
边值问题
evolution equation
Sobolevskii condition
evolution system
analytic semigroup
mild solution
parabolic boundary value problems
