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ON PSEUDO $ \mathcal{S} $-ASYMPTOTICALLY PERIODIC FUNCTIONS
MICHELLE PIERRI, VANESSA ROLNIK
Journal:

Bulletin of the Australian Mathematical Society / Volume 87 / Issue 2 / April 2013

Published online by Cambridge University Press:

30 January 2013, pp. 238-254

Print publication:

April 2013
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We introduce the concept of pseudo $ \mathcal{S} $-asymptotically periodic functions and study some of the qualitative properties of functions of this type. In addition, we discuss the existence of pseudo $ \mathcal{S} $-asymptotically periodic mild solutions for abstract neutral functional differential equations. Some applications involving ordinary and partial differential equations with delay are presented.