In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference...In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference equations.展开更多
For linear difference systems,a rather general result on the existence of almost periodic solutions is established,which also gives the explicit expression of the almost periodic solution in terms of the coefficient m...For linear difference systems,a rather general result on the existence of almost periodic solutions is established,which also gives the explicit expression of the almost periodic solution in terms of the coefficient matrix and the nonhomogeneous term.The obtained result confirms not only the existence,but also the uniqueness as well as the uniform asymptotic stability of the almost periodic solution.As an application,a criterion on the existence of almost periodic solutions of the second order difference equations is derived.展开更多
基金Supported by the NNSF of China(No.11171191)the NSF of Shandong Province(No.ZR2010AL011)
文摘In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference equations.
基金supported by the Nat ioanl Natural Science Foundation of China(Grant No.19331061).
文摘For linear difference systems,a rather general result on the existence of almost periodic solutions is established,which also gives the explicit expression of the almost periodic solution in terms of the coefficient matrix and the nonhomogeneous term.The obtained result confirms not only the existence,but also the uniqueness as well as the uniform asymptotic stability of the almost periodic solution.As an application,a criterion on the existence of almost periodic solutions of the second order difference equations is derived.
