Title of article :
Favardʼs theorem of piecewise continuous almost periodic functions and its application
Author/Authors :
Wang، نويسنده , , Li and Yu، نويسنده , , Mei، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Pages :
12
From page :
35
To page :
46
Abstract :
In this paper, by constructing Bochner–Fejér polynomials for piecewise continuous almost periodic functions (PCAP, for short), the authors establish Favardʼs theorem of PCAP functions, which illustrates when the primitive function of PCAP function is a PCAP function. As its application, combining coincidence degree theory, we consider the existence of PCAP solution of impulsive single population model with hereditary effects. To our best knowledge, it is the first time when coincidence degree theory is used to study the existence of PCAP solution of impulsive differential equation.
Keywords :
Favard?s theorem , Coincidence degree theory , Impulsive population model , Bochner–Fejér polynomials , (Piecewise continuous) almost periodicity
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2014
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
1564290
Link To Document :
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