Results 41 to 50 of about 1,127 (130)

Accurate solution estimates for vector difference equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3059-3066, 2003., 2003
Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix.
Rigoberto Medina
wiley   +1 more source

Oscillation and Property B for Semi-Canonical Third-Order Advanced Difference Equations

open access: yesNonautonomous Dynamical Systems, 2022
In this paper, we present sufficient conditions for the third-order nonlinear advanced difference equations of the form Δ(a(n))Δ(b(n)Δy((n)))=p(n)f(y(σ(n)))\Delta \left( {a\left( n \right)} \right)\Delta \left( {b\left( n \right)\Delta y\left( {\left( n \
Chatzarakis G.E.   +2 more
doaj   +1 more source

Necessary conditions for linear noncooperative N-player delta differential games on time scales

open access: yes, 2007
We present necessary conditions for linear noncooperative N-player delta dynamic games on a generic time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryless perfect state Nash-equilibrium are proved.Comment: Partially ...
Martins, Natalia, Torres, Delfim F. M.
core   +1 more source

Existence and global stability of positive periodic solutions of a discrete delay competition system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003
The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
wiley   +1 more source

Dynamical analysis of discrete time equations with a generalized order

open access: yesAlexandria Engineering Journal, 2023
Some natural phenomena that arise in nonlinear sciences can be sometimes discussed using discrete-time systems. In this work, we investigate the periodicity, boundedness, oscillation, stability, and some exact solutions of nonlinear difference equations ...
Lama Sh. Aljoufi   +2 more
doaj   +1 more source

A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2455-2463, 2003., 2003
A kth‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for well‐posedness and can be easily applied using a simple
Raghib Abu-Saris, Wajdi Ahmad
wiley   +1 more source

Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations

open access: yes, 2013
We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of such matrix functions, that a good coordinate system on this space is given ...
Anton Dzhamay   +8 more
core   +1 more source

On the solutions of two special types of Riccati difference equation via Fibonacci numbers

open access: yes, 2013
In this study, we investigate the solutions of two special types of the Riccati difference equation xn+1=11+xn and yn+1=1−1+yn such that their solutions are associated with Fibonacci numbers.MSC: 11B39, 39A10, 39A13.
D. T. Tollu, Y. Yazlık, N. Taskara
semanticscholar   +1 more source

Global attractivity in a genotype selection model

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002
We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
wiley   +1 more source

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

open access: yesAbstract and Applied Analysis
MSC2020 Classification:03E72, 39A10 ...
Najmeddine Attia, Ahmed Ghezal
doaj   +1 more source

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