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Stepanov-Like Weighted Pseudo Almost Automorphic Functions Via Measure Theory

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Abstract

In this article, we introduce and study the concept of \(\mu \)-Stepanov-like pseudo almost automorphic function using the measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to a nonautonomous semilinear evolution equation.

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Acknowledgments

The authors are grateful to the anonymous referees for the valuable comments to improve this paper. This work was supported by NSF of China (11361032), Program for New Century Excellent Talents in University (NCET-10-0022).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, People’s Republic of China

    Yong-Kui Chang

  2. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD, 21251, USA

    G. M. N’Guérékata

  3. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, 730070, People’s Republic of China

    Rui Zhang

Authors
  1. Yong-Kui Chang
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  2. G. M. N’Guérékata
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  3. Rui Zhang
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Correspondence to Yong-Kui Chang.

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Communicated by Shangjiang Guo.

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Chang, YK., N’Guérékata, G.M. & Zhang, R. Stepanov-Like Weighted Pseudo Almost Automorphic Functions Via Measure Theory. Bull. Malays. Math. Sci. Soc. 39, 1005–1041 (2016). https://doi.org/10.1007/s40840-015-0206-1

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  • DOI: https://doi.org/10.1007/s40840-015-0206-1

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