Periodic Solutions of Periodic Difference Equations by Schauder‘s Theorem
-
Tetsuo Furumochi
furumochi@riko.shimane-u.ac.jp
Downloads
Abstract
In this paper, we discuss the existence problem of periodic solutions of the periodic difference equation
x(n + 1) = f(n, x(n)), n ∈ Z
and the periodic difference equation with infinite delay
x(n + 1) = f(n, xn), n ∈ Z,
where x and f are d-vectors, and Z denotes the set of integers. We show the existence of periodic solutions by using Schauder‘s fixed point theorem, and illustrate an example.
Keywords
Similar Articles
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Jan Andres, Karel Pastor, Pavla Snyrychov´a, Simple Fixed Point Theorems on Linear Continua , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- B.E. Rhoades, A Fixed Point Theorem for Certain Operators , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Toufik Moussaoui, Radu Precup, Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Saleh S. Almuthaybiri, Jagan Mohan Jonnalagadda, Christopher C. Tisdell, Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Alka Chadha, Dwijendra N Pandey, Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-08-01
How to Cite
[1]
T. Furumochi, “Periodic Solutions of Periodic Difference Equations by Schauder‘s Theorem”, CUBO, vol. 11, no. 3, pp. 55–63, Aug. 2009.
Issue
Section
Articles
