Weighted Pseudo Almost Automorphic Solutions to Non- autonomous Semilinear Differential Equations

نویسنده

  • Saud M. Alsulami
چکیده

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 X X R satisfies a Lipschitz condition with respect to the second argument. MSC 2010: 43A60; 34G20, 47Dxx

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تاریخ انتشار 2010