Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations

摘要

The paper examines the existence of pseudo almost periodic solutions to someclasses of partial hyperbolic evolution equations. Namely, sufficientconditions for the existence and uniqueness of pseudo almost periodic solutionsto those classes of hyperbolic evolution equations are given. Applicationsinclude the existence of pseudo almost periodic solutions to the transport andheat equations with delay.