Perturbing Almost Periodic Differential Equations
نویسنده
چکیده
ABSTRACT. When the zero solution of an almost periodic differential system is uniform-asymptotically stable, it is shown that the zero solution is diminishingly asymptotically stable and totally asymptotically stable. Generalization of the above theorem to bounded solutions and functional differential equations with finite time-lag are obtained by the same method. The techniques used in the proof also give a more general approach to perturbation theory of differential equations.
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