Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 161, pp. 1-11.

Title: Almost periodic solutions of distributed parameter biochemical
       systems with time delay and time varying input
        
Authors: Abdou K. Drame  (La Guardia Community College, NY, USA)
         Mangala R. Kothari (La Guardia Community College, NY, USA)
         Peter R. Wolenski (Louisiana State Univ., Baton Rouge, LA, USA

Abstract:
 In this article we study the existence of almost periodic solutions 
 for distributed parameters biochemical system, with time delay
 when the input $S_{\rm in}$ 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.