Next Article in Journal / Special Issue
Solution Estimates for the Discrete Lyapunov Equation in a Hilbert Space and Applications to Difference Equations
Previous Article in Journal
Complex Soliton Solutions to the Gilson–Pickering Model
Previous Article in Special Issue
Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays
Open AccessArticle

Note on Limit-Periodic Solutions of the Difference Equation xt + 1 − [h(xt) + λ]xt = rt, λ > 1

1
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic
2
Centre PMF, Laboratory SAMM, Université Paris I Panthéon—Sorbonne, 90, Rue de Tolbiac, 75 634 Paris CEDEX 13, France
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(1), 19; https://doi.org/10.3390/axioms8010019
Received: 7 January 2019 / Revised: 31 January 2019 / Accepted: 1 February 2019 / Published: 5 February 2019
(This article belongs to the Special Issue New Trends in Differential and Difference Equations and Applications)
As a nontrivial application of the abstract theorem developed in our recent paper titled “Limit-periodic solutions of difference and differential systems without global Lipschitzianity restricitions”, the existence of limit-periodic solutions of the difference equation from the title is proved, both in the scalar as well as vector cases. The nonlinearity h is not necessarily globally Lipschitzian. Several simple illustrative examples are supplied. View Full-Text
Keywords: limit-periodic solutions; difference equations; exponential dichotomy; strong nonlinearities; effective existence criteria; population dynamics limit-periodic solutions; difference equations; exponential dichotomy; strong nonlinearities; effective existence criteria; population dynamics
MDPI and ACS Style

Andres, J.; Pennequin, D. Note on Limit-Periodic Solutions of the Difference Equation xt + 1 − [h(xt) + λ]xt = rt, λ > 1. Axioms 2019, 8, 19. https://doi.org/10.3390/axioms8010019

AMA Style

Andres J, Pennequin D. Note on Limit-Periodic Solutions of the Difference Equation xt + 1 − [h(xt) + λ]xt = rt, λ > 1. Axioms. 2019; 8(1):19. https://doi.org/10.3390/axioms8010019

Chicago/Turabian Style

Andres, Jan; Pennequin, Denis. 2019. "Note on Limit-Periodic Solutions of the Difference Equation xt + 1 − [h(xt) + λ]xt = rt, λ > 1" Axioms 8, no. 1: 19. https://doi.org/10.3390/axioms8010019

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop