以Leray—schauder非线性抉择为工具,研究了一阶含参时滞差分方程反周期解的存在性,获得了当参数在一定范围取值时反周期解的存在性结果,得到了反周期解存在的充分条件,并通过实例表明结果的可行性。
Taking the Leray-schauder nonlinear alternative as a tool, the existence of anti-periodic solutions of first neu- tral delay difference equations with parameter is discussed. The existence of anti-periodic solutions is obtained when the pa- rameter belongs to appropriate intervals. Therefore, the sufficient conditions for existence of anti-periodic solutions are ob- tained. The example shows the feasibility of the main results.