EXISTENCE OF <i>µ</i>-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Yong-Kui Chang; G. M. N'Guérékata; Rui Zhang

doi:10.11948/2016043

2016 Volume 6 Issue 3

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Yong-Kui Chang, G. M. N'Guérékata, Rui Zhang. EXISTENCE OF µ-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 628-664. doi: 10.11948/2016043

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Yong-Kui Chang, G. M. N'Guérékata, Rui Zhang. EXISTENCE OF µ-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 628-664. doi: 10.11948/2016043

EXISTENCE OF µ-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

1 School of Mathematics and Statistics, Xidian Univeristy, Xi'an 710071, China;
2 Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M. D. 21251, USA;
3 Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

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Abstract

Abstract

In this article, we introduce and investigate the concept of µ-Stepanov-like pseudo almost automorphic functions of class h and class infinity via 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 an abstract partial neutral functional differential equation with infinite delay.
MSC: 34K14;60H10;35B15;34F05

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References

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