Cheban D.N. Asymptotically Almost Periodic Solutions of Differential Equations

Hindawi Publishing Corporation, 2009. — 204 pages. ISBN: 9774540999Nonlocal problems concerning the conditions of the existence of different classes of solutions play an important role in the qualitative theory of differential equations. Here belong the problem of boundedness, periodicity, almost periodicity, stability in the sense of Poisson, and the problem of the existence of limit regimes of different types, convergence, dissipativity, and so on. The present work belongs to this direction and is dedicated to the study of asymptotically stable in the sense of Poisson (in particular, asymptotically almost periodic) motions of dynamical systems and solutions of differential equations. There is series of works of known authors dedicated to the problem of asymptotically stability in the sense of Poisson.