Turkish Journal of Mathematics
Abstract
We formulate initial value problems for delay difference equations in Banach spaces as fixed-point problems in sequence spaces. By choosing appropriate sequence spaces various types of attractivity can be described. This allows us to establish global attractivity by means of fixed-point results. Finally, we provide an application to delay integrodifference equations in the space of continuous functions over a compact domain.
DOI
10.3906/mat-2012-66
Keywords
Delay difference equations, contractive difference equations, fixed-point theory, population dynamics, integrodifference equations, global attractivity
First Page
1738
Last Page
1756
Recommended Citation
KALKAN, A (2021). Global attractivity of delay difference equations in Banach spaces via fixed-point theory. Turkish Journal of Mathematics 45 (4): 1738-1756. https://doi.org/10.3906/mat-2012-66
