Stepanov-Like Asymptotical Almost Periodic Functions and an Application

作者: Yongkun Li , Yaolu Wang , Jianglian Xiang

DOI: 10.1155/2018/8208323

关键词: UniquenessSpace (mathematics)MathematicsMathematical analysisAlmost periodic functionCompleteness (statistics)Class (set theory)Contraction mappingDelay differential equation

摘要: In this paper, we first study some basic properties of Stepanov-like asymptotical almost periodic functions including the completeness space functions. Then, as an application, based on these and contraction mapping principle, obtain sufficient conditions for existence uniqueness solutions a class semilinear delay differential equations.

参考文章(18)
Toka Diagana, Gisèle M. Mophou, Gaston M. N’Guérékata, Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with -weighted pseudo-almost periodic coefficients Nonlinear Analysis: Theory, Methods & Applications. ,vol. 72, pp. 430- 438 ,(2010) , 10.1016/J.NA.2009.06.077
Jan Andres, Denis Pennequin, On Stepanov almost-periodic oscillations and their discretizations Journal of Difference Equations and Applications. ,vol. 18, pp. 1665- 1682 ,(2012) , 10.1080/10236198.2011.587813
Bruno de Andrade, Carlos Lizama, Existence of asymptotically almost periodic solutions for damped wave equations Journal of Mathematical Analysis and Applications. ,vol. 382, pp. 761- 771 ,(2011) , 10.1016/J.JMAA.2011.04.078
Md. Maqbul, D. Bahuguna, Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations Differential Equations and Dynamical Systems. ,vol. 22, pp. 251- 264 ,(2014) , 10.1007/S12591-013-0172-8
Zuosheng Hu, Angelo B. Mingarelli, Bochner’s theorem and Stepanov almost periodic functions Annali di Matematica Pura ed Applicata. ,vol. 187, pp. 719- 736 ,(2008) , 10.1007/S10231-008-0066-5
Jan Andres, Denis Pennequin, On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations Proceedings of the American Mathematical Society. ,vol. 140, pp. 2825- 2834 ,(2012) , 10.1090/S0002-9939-2012-11154-2
B. Amir, L. Maniar, Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain Annales mathématiques Blaise Pascal. ,vol. 6, pp. 1- 11 ,(1999) , 10.5802/AMBP.110
Junfei Cao, Qigui Yang, Zaitang Huang, Qing Liu, Asymptotically almost periodic solutions of stochastic functional differential equations Applied Mathematics and Computation. ,vol. 218, pp. 1499- 1511 ,(2011) , 10.1016/J.AMC.2011.06.033
Toka Diagana, Gaston M N’Guérékata, None, Stepanov-like almost automorphic functions and applications to some semilinear equations Applicable Analysis. ,vol. 86, pp. 723- 733 ,(2007) , 10.1080/00036810701355018