Pseudo almost periodic solutions of infinite class under the light of measure theory

• Autorzy: Votsia Djokata , Zabsonre Issa
• Języki publikacji: EN

Abstrakty

EN

The aim of this work is to present new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We present a new concept of weighted ergodic functions which is more general than the classical one. Then we establish many interesting results on the functional space of such functions. We study the existence and uniqueness of (μ, ν)-pseudo almost periodic solutions of infinite class for some neutral partial functional differential equations in a Banach space when the delay is distributed on ]−∞, 0] using the spectra decomposition of the phase space developed in Adimy and co-authors.

Słowa kluczowe

EN

measure theory; ergodicity; (μ,υ)-pseudo almost periodic function; infinite delay; evolution equations; reaction diffusion systems; partial functional differential equations

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Silesian Journal of Pure and Applied Mathematics
• Rocznik: 2020
• Tom: vol. 10, iss. 1
• Strony: 15--43
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Votsia Djokata

• Ecole Normale Sup´erieure de Bongor, D´epartement de Math´ematiques, B.P. 15, Bongor, Tchad

autor

Zabsonre Issa

• Universit´e Joseph KI-ZERBO, Unit´e de Recherche et de Formation en Sciences Exactes et Appliqu´ees, D´epartement de Math´ematiques, B.P. 7021 Ouagadougou 03, Burkina Faso

Bibliografia

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• 6. Blot J., Cieutat P., Ezzinbi K.: New approach for weighted pseudo almost periodic functions under the light of measure theory, basic results and applications. Appl. Anal. 92, no. 3 (2013), 493-526.
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