Results 11 to 20 of about 723 (99)
Combinatorics of Matrix Factorizations and Integrable Systems [PDF]
, 2013 We study relations between the eigenvectors of rational matrix functions on the Riemann sphere. Our main result is that for a subclass of functions that are products of two elementary blocks it is possible to represent these relations in a combinatorial ...
Dzhamay, Anton
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On second-order fuzzy discrete population model
Open Mathematics, 2022 This work is concerned with dynamical behavior of a second-order fuzzy discrete population model: xn=Axn−11+xn−1+Bxn−2,n=1,2,…,{x}_{n}=\frac{A{x}_{n-1}}{1+{x}_{n-1}+B{x}_{n-2}},\hspace{1em}n=1,2,\ldots , where A,BA,B are positive fuzzy numbers. xn{x}_{n}
Zhang Qianhong +2 more
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Systems of the Kowalevski type and discriminantly separable polynomials [PDF]
, 2013 Starting from the notion of discriminantly separable polynomials of degree two in each of three variables, we construct a class of integrable dynamical systems.
Dragovic, Vladimir, Kukic, Katarina
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Estimates for the norms of solutions of difference systems with several delays
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1447-1453, 2004., 2004 We derive explicit stability conditions for time‐dependent difference equations with several delays in Cn (the set of n complex vectors) and estimates for the size of the solutions. The growth rates obtained here are not necessarily decay rates.
Rigoberto Medina
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Open Mathematics, 2022 In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan +2 more
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Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004 We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
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Laplace - Fibonacci transform by the solution of second order generalized difference equation
Nonautonomous Dynamical Systems, 2017 The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra +3 more
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On a difference equation with min‐max response
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2915-2926, 2004., 2004 We investigate the global behavior of the (positive) solutions of the difference equation xn+1 = αn + F(xn, …, xn−k), n = 0, 1, …, where (αn) is a sequence of positive reals and F is a min‐max function in the sense introduced here. Our results extend several results obtained in the literature.
George L. Karakostas, Stevo Stević
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Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
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Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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