摘要
This paper concerns the controllability of autonomous and nonautonomous nonlinear discrete systems,in which linear parts might admit certain degeneracy.By introducing Fredholm operators and coincidence degree theory,sufficient conditions for nonlinear discrete systems to be controllable are presented.In addition,applications are given to illustrate main results.
基金
supported by National Natural Science Foundation of China (grant No.41874132)
supported by National Natural Science Foundation of China (grant No.11201173)
National Natural Science Foundation of China (grant No.11171132,grant No.11571065)
Science and Technology Developing Plan of Jilin Province (grant No.20180101220JC)
supported by National Basic Research Program of China (grant No.2013CB834100)
Jilin DRC (grant No.2017C028-1)。
