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 |
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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 |
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Peter R. Wolenski Dept of Mathematics, Louisiana State University Baton Rouge, LA 70803, USA email: wolenski@math.lsu.edu |
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