Electron. J. Diff. Equ., Vol. 2013 (2013), No. 161, pp. 1-11.

Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input

Abdou K. Drame, Mangala R. Kothari, Peter R. Wolenski

Abstract:
In this article we study the existence of almost periodic solutions for distributed parameters biochemical system, with time delay when the input S_in is time dependent. This study is motivated by the input begin time dependent in many applications, and by the importance of almost periodically varying environments. Using the semigroup method, we prove that if the input is almost periodic then the system has an almost periodic solution.

Submitted October 18, 2012. Published July 12, 2013.
Math Subject Classifications: 92B05, 35B15, 35K60.
Key Words: Time delay; almost periodic solutions; biochemical system; partial functional differential equations.

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Abdou K. Drame
Dept of Mathematics, La Guardia Community College
The City University of New York, 31-10 Thomson Ave.
Long Island City, NY 11101, USA
email: adrame@lagcc.cuny.edu
Mangala R. Kothari
Dept of Mathematics, La Guardia Community College
The City University of New York, 31-10 Thomson Ave.
Long Island City, NY 11101, USA
email: mkothari@lagcc.cuny.edu
Peter R. Wolenski
Dept of Mathematics, Louisiana State University
Baton Rouge, LA 70803, USA
email: wolenski@math.lsu.edu

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