most citedCircular spectrum and bounded solutions of periodic evolution equations

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math.CA2012★ 1 cited

Existence of asymptotic almost automorphic solutions of fractional integro differential equations with non local conditions

Syed Abbas, Gaston M. N'Guerekata

This paper deals with the existence of asymptotic almost automorphic solution of fractional integro differential equation. We prove the result by using fixed point theorems. We sho…

math.CA2012

On the asymptotic behavior of the solutions of semilinear nonautonomous equations

Nguyen Van Minh, Gaston M. N'guérékata, Ciprian Preda

We consider nonautonomous semilinear evolution equations of the form \label{semilineq} \frac{dx}{dt}= A(t)x+f(t,x). Here is a (possibly unbounded) linear operator acting on…