Document Zbl 1212.39020

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Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa

Existence of asymptotically periodic solutions of scalar Volterra difference equations. (English) Zbl 1212.39020

Tatra Mt. Math. Publ. 43, 51-61 (2009).

The existence of asymptotically periodic solutions of a scalar Volterra difference equation is discussed by using Schauder’s fixed point theorem. In addition, a concrete example is illustrated to show the usefulness of the main theorem. Moreover, sufficient conditions for the nonexistence of such solutions are given.

Reviewer: Tetsuo Furumochi (Matsue)

Cited in 9 Documents

MSC:

39A23	Periodic solutions of difference equations
39A10	Additive difference equations
39A22	Growth, boundedness, comparison of solutions to difference equations

Keywords:

asymptotically periodic solution; asymptotic behavior of solutions; Volterra difference equation

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