Open AccessExistence of asymptotically periodic solutions of scalar Volterra difference equations
Author(s) -
Josef Diblı́k,
Miroslava Růžičková,
Ewa Schmeidel
Publication year - 2009
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.171
H-Index - 12
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/v10127-009-0024-7
Subject(s) - mathematics , scalar (mathematics) , volterra equations , fixed point theorem , mathematical analysis , volterra integral equation , pure mathematics , nonlinear system , integral equation , physics , geometry , quantum mechanics
There is used a version of Schauder’s fixed point theorem to prove the existence of asymptotically periodic solutions of a scalar Volterra difference equation. Along with the existence of asymptotically periodic solutions, sufficient conditions for the nonexistence of such solutions are derived. Results are illustrated on examples.