### Almost periodic solutions of evolution equations

DOI: http://dx.doi.org/10.12775/TMNA.2017.012

#### Abstract

We state existence theorems for almost periodic solutions of evolution problems,

namely, quasi-autonomous problems and more generally, time dependent

evolution equations. We apply these theorems firstly, to

a boundary value quasilinear hyperbolic equation of first order, and secondly, to a boundary value quasi-parabolic equation.

namely, quasi-autonomous problems and more generally, time dependent

evolution equations. We apply these theorems firstly, to

a boundary value quasilinear hyperbolic equation of first order, and secondly, to a boundary value quasi-parabolic equation.

#### Keywords

Dissipative operator; almost periodic function; evolution operator; semi-group; boundary value problem

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