一类积微分方程的加权伪概自守解A Class of Weighted Pseudo Almost Automorphic Solution to Integro Differential Equations
卢丑丽
摘要(Abstract):
加权伪概自守函数是较伪概自守函数和渐近概自守函数更一般的一类函数,在Banach空间中,利用Banach稳定点定理和算子理论的相关知识,得到一定条件下一类积微分方程的加权伪概自守解的存在性定理.
关键词(KeyWords): 加权伪概自守函数;演化族;指数稳定性
基金项目(Foundation):
作者(Author): 卢丑丽
DOI: 10.16393/j.cnki.37-1436/z.2017.05.003
参考文献(References):
- [1]Bochner.S.A new approach to almost-periodicity[J].Proc.Natl.Acad.Sci.USA,1962,48:2039-2043.
- [2]XIAO Ti-jun,Jin Liang,Zhang Jun.Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces[J].Semigroup Forum,2008,76:518-524.
- [3]XIAO Ti-jun,ZHU X.X.,LIANG Jin..Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications[J].Nonlinear Anal,2009,70:4079-4085.
- [4]DING Hui-Sheng.,XIAO Ti-Jun.,LIANG Jin.Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions[J].Journal of Mathematical analysis and applications,2008,338:141-151.
- [5]LIU Jing-huai,SONG Xiao-qiu.Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations[J].Journal of Function analysis,2010,11:196-207.
- [6]LIU Jing-huai,SONG Xiao-qiu,LU Feng-ling.Almost automorphic and pseudo almost automorphic solutions of semilinear evolution equations[J].Acta Analysis Functionalis Applicata,2009,258:294-300.
- [7]Blot,J Mophou G.M.,Guerekata G.M.N,et al.Weighted pseudo almost automorphic functions and applications to abstract differential equations[J].Nonlinear Anal.,2009,71:903-909.
- [8]A.Pazy.Semigroups of linears Operators and Appliations to partial differential equations[M].Springer-Verlag,Newyork,Berlin,Heidelberg,Tokyo,1983.
- [9]T.Diagana.Weighted pseudo almost periodic functions and applications[J].C.R.Acad.Paris.ser.I,2006,343(10):643-646.
- [10]T.Diagana.Weighted pseudo almost periodic solutions to some differential equations[J].Nonlinear Anal.,2008,68:2250-2260.
- [11]T.Diagana.Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolu-tion equations[J].J.Math Anal.Appl.,2009,350:18-28.
- [12]T.Diagana.Weighted pseudo almost periodic solutions to a neutral delay integral equation of advanced type[J].Nonlinear Anal..2009,70:298-304.
- [13]ZHANG L.,XU Y..Weighted pseudo-almost periodic solutions of a class of abstract differential equa-tions[J].Nonlinear Anal.,2009,71:3705-3714.
- [14]LU chouli,SONG xiao-qiu,ZHANG rongjuan,Almost automorphic and weighted pseudo almost automorphic solutions to some semilinear differential equations[J].南京大学学报(数学半年刊),2012,29(2):105-114.