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
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Rafael Galeano, Pedro Ortega, John Cantillo, Stationary Boltzmann equation and the nonlinear alternative of Leray-Schauder type , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Stanislas Ouaro, Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Derek Hacon, Jordan normal form via ODE's , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- V. V. Palin, E. V. Radkevich, The Maxwell problem and the Chapman projection , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- René Schott, G. Stacey Staples, Operator homology and cohomology in Clifford algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Michael J. Mezzino, Numerical Solutions of Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Hassan Sedaghat, Global Attractivity, Oscillations and Chaos in A Class of Nonlinear, Second Order Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Tingxiu Wang, Some General Theorems on Uniform Boundedness for Functional Differential Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
<< < 7 8 9 10 11 12 13 14 15 16 17 18 > >>
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
