摘要
本文证明了Sp概自守函数和Sp加权伪概自守函数新的复合定理.在这两个复合定理所需的Lipschitz条件中,作者采用了本性最大模范数,使得条件弱于或不同于前人结果中相应的条件.作为应用,作者给出了半线性微分方程加权伪概自守mild解的存在唯一性结果.
In this paper, we establish some new composition results for Sp -almost automorphic func-tions and Sp -weighted pseudo almost automorphic functions, where we used a Lipschitz condition invol-ving essential sup norm, and then the condition used here is weaker than or different from the ones usedbefore. As an application, we present an existence and uniqueness of mild weighted pseudo almost auto-morphic solutions to semilinear differential equations with an Sp -weighted pseudo almost automorphicterm.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第5期951-957,共7页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11471227)
关键词
复合定理
Sp概自守性
Sp加权伪概自守性
半线性微分方程
Composition theorem
Sp -almost automorphic
Sp -weighted pseudo almost automorphic
Semilinear differential equation
