摘要：In this paper, a nonlinear differential equation x ′ = A ( t , x ) + f ( t ) 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 A ( t , x ) . Finally, an example is presented to illustrate the feasibility and effectiveness of the new results.
关键词：Banach Space ; Positive Constant ; Linear Operator ; Periodic Solution ; Cauchy Problem
