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1 results

  • 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.