Weighted Pseudo Almost Automorphic Solutions to Nonautonomous Semilinear Differential Equations
DOI:
https://doi.org/10.5147/jmsca.v1i1.88Abstract
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