Weighted Pseudo Almost Automorphic Solutions to Nonautonomous Semilinear Differential Equations

  • Saud M. Alsulami Mathematics Department, King Abdulaziz University P.O.Box: 138381 Jeddah 21323 Saudi Arabia

Abstract

We consider the existence and uniqueness of Weighted Pseudo almost automorphic solutions
to the non-autonomous semilinear differential equation in a Banach space X :
( ) = ( ) ( ) ( , ( )), ' u t A t u t f t u t t R
where A(t), t R, generates an exponentially stable evolution family {U(t, s)} and
f :R X X satisfies a Lipschitz condition with respect to the second argument.
MSC 2010: 43A60; 34G20, 47Dxx

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Published
2017-06-10
Section
Articles