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
- Robert M. Yamaleev, Evolutionary method of construction of solutions of polynomials and related generalized dynamics , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Gaston M. N‘Guérékata, Hilfer and Hadamard functional random fractional differential inclusions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi, Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- G. Suresh, Ch Vasavi, T.S. Rao, M.S.N. Murty, Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+ , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Balwant Singh Thakur, An iterative method for finite family of hemi contractions in Hilbert space , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Sapan Kumar Nayak, P. K. Parida, Global convergence analysis of Caputo fractional Whittaker method with real world applications , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- C.M. Kirk, A Localized Heat Source Undergoing Periodic Motion: Analysis of Blow-Up and a Numerical Solution , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Hamza El-Houari, Lalla Saádia Chadli, Hicham Moussa, On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Sehie Park, Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
<< < 4 5 6 7 8 9 10 11 12 13 14 15 > >>
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
