IJPAM: Volume 113, No. 1 (2017)

Title

ASYMPTOTICALLY $\omega$-PERIODIC SOLUTION FOR
AN EVOLUTION DIFFERENTIAL EQUATION
VIA $\omega$-PERIODIC LIMIT FUNCTIONS

Authors

William Dimbour$^1$, Solym Mawaki$^2$
$^1$UMR Espace-Dev
Université de Guyane
Campus de Troubiran 97300
Cayenne Guyane (FWI), FRENCH GUIANA
$^2$Centre Universitaire de Mayotte
Département Sciences et Technologies
Route Nationale 3, BP 53 - 97660, DEMBENI

Abstract

In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically $\omega$-periodic solutions for an evolution differential equation considering the class of $\omega$-periodic limit functions. This is done using the Banach Fixed Point Theorem.

History

Received: October 14, 2016
Revised: January 17, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 34K05, 34A12, 34A40
Key Words and Phrases: asymptotically $\omega$-periodic functions, evolutionnary process, oridnary differential equation

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How to Cite?

DOI: 10.12732/ijpam.v113i1.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 59 - 71


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