Asymptotic and Pseudo Almost Periodicity of the Convolution Operator and Applications to Differential and Integral Equations | Zendy

Dariusz Bugajewski | Zendy; Toka Diagana | Zendy; Crépin M. Mahop | Zendy

Open Access

Asymptotic and Pseudo Almost Periodicity of the Convolution Operator and Applications to Differential and Integral Equations

Author(s) -

Dariusz Bugajewski,

Toka Diagana,

Crépin M. Mahop

Publication year - 2006

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1292

Subject(s) - convolution (computer science) , mathematics , pseudo differential operator , operator (biology) , mathematical analysis , convolution power , hypoelliptic operator , convolution theorem , differential operator , differential equation , semi elliptic operator , fourier transform , computer science , fourier analysis , biochemistry , chemistry , repressor , machine learning , artificial neural network , transcription factor , fractional fourier transform , gene

We examine conditions which do ensure the asymptotic almost periodicity (respectively, pseudo almost periodicity) of the convolution function f ∗h of f with h whenever f is asymptotically almost periodic (respectively, pseudo almost periodic) and h is a (Lebesgue) measurable function satisfying some additional assumptions. Next we make extensive use of those results to investigate on the asymptotically almost periodic (respectively, pseudo almost periodic) solutions to some differential, functional, and integral equations.

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