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On the existence of asymptotically almost periodic solutions for nonlinear systems

DOI: 10.1186/1687-1847-2013-28

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Abstract:

In this paper, a nonlinear differential equation is considered. Some new sufficient conditions for the existence of a bounded solution and an asymptotically almost periodic solution, which generalize and improve the previously known results, are established by using a dissipative-type condition for . Finally, an example is presented to illustrate the feasibility and effectiveness of the new results.

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