Periodicity in Nonlinear Systems with Infinite Delay
نویسندگان
چکیده
Using Schaefer’s fixed-point theorem, enabling us to show that if there is an a priori bound on all possible T -periodic solutions of an infinite delay Volterra difference equation, then there is a T -periodic solution. We apply our results to scalar infinite delay Volterra difference equations in which, the a priori bound is established by means of nonnegative definite Lyapunov functionals. AMS subject classification: 39A10, 39A12.
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