Bounded solutions of scalar, almost periodic linear equations
Bounded solutions of scalar, almost periodic linear equations
IntroductionConsider a scalar, non-homogeneous differential equation (*) c a(t)x + b(t),where a and b are Bohr-almost periodic functions.If the mean value of a is not zero, then Cameron [] showed that (*) admits a unique bounded solution, and that said solution is almost periodic.One can now prove this result by …