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

YongKui Chang | Zendy; Rui Zhang | Zendy

Open Access

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

Author(s) -

YongKui Chang,

Rui Zhang

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016043

Subject(s) - mathematics , class (philosophy) , completeness (order theory) , infinity , mathematical analysis , pure mathematics , space (punctuation) , computer science , artificial intelligence , operating system

In this article, we introduce and investigate the concept of μStepanov-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.

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