Results 41 to 50 of about 1,127 (130)
Accurate solution estimates for vector difference equations
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
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
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
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
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 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
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
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
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
MSC2020 Classification:03E72, 39A10 ...
Najmeddine Attia, Ahmed Ghezal
doaj +1 more source

