Results 41 to 50 of about 723 (99)
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
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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
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Dynamics Study and Solutions Expressions of Rational Discrete Systems
This article goal is to study the qualitative behaviors for the following rational difference systems Un+1 = d1Un−1 + a1Vn−5Un−1/b1 + e1Vn−5 + Vn−3(s1 + c1Vn−5VnUn−4Un−1), Vn+1 = d2Vn−1 + a2Un−5Vn−1/b2 + e2Un−5 + Un−3(s2 + c2Un−5UnVn−4Vn−1), namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive ...
B. S. Alofi, Ahmed Ezzat Matouk
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Asymptotic behavior of the solutions of a discrete reaction‐diffusion equation
By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction‐diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.
Rigoberto Medina, Sui Sun Cheng
wiley +1 more source
An analytical method with Padé technique for solving of variational problems
In this paper, the homotopy analysis method (HAM) is employed to solve a class of variational problems (VPs). By using the so-called ħ-curves, we determine the convergence parameter ħ, which plays key role to control convergence of solution series.
Jaffarian H., Sayevand K., Kumar Sunil
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Estimates for the norms of solutions of delay difference systems
We derive explicit stability conditions for delay difference equations in ℂn (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, which model diffusion and reaction processes, are given.
Rigoberto Medina
wiley +1 more source
We consider the global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations.
Denghua Cheng, Jurang Yan
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Some discrete Poincaré‐type inequalities
Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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Almost automorphic solutions of discrete delayed neutral system
We study almost automorphic solutions of the discrete delayed neutral dynamic system% \[ x(t+1)=A(t)x(t)+\Delta Q(t,x(t-g(t)))+G(t,x(t),x(t-g(t))) \] by means of a fixed point theorem due to Krasnoselskii.
Adıvar, Murat, Koyuncuoglu, H. Can
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