On The Convolution Operator And Applications To Differential And Integral Equations
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Date
2009
Department
Mathematics
Program
Master of Arts
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This item is made available by Morgan State University for personal, educational, and research purposes in accordance with Title 17 of the U.S. Copyright Law. Other uses may require permission from the copyright owner.
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Abstract
We take an in-depth look at conditions which ensure the pseudo almost periodicity, asymptotic almost periodicity and the almost automorphy of the convolution of f with h denoted by f * h where f is pseudo almost periodic, asymptotically almost periodic or almost automorphic and h is a Lebesgue integrable function. We make extensive use of these conditions to investigate the pseudo almost periodic, asymptotically almost periodic and almost automorphic solutions of some differential and integral equations.