Results 21 to 30 of about 131 (124)
Open Mathematics, 2016 In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
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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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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 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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Some scalar difference inequalities [PDF]
, 2020 In this paper we prove some scalar difference inequalities using the concept of under and over function with respect to solution of initial value problem.
K L Bondar
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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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Dynamical analysis of discrete time equations with a generalized order
Alexandria 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
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Nonlinear Volterra difference equations in space lp
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 301-306, 2004., 2004 We consider a class of vector nonlinear discrete‐time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil′, Rigoberto Medina
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Subdominant positive solutions of the discrete equation Δu(k + n) = −p(k)u(k)
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 461-470, 2004., 2004 A delayed discrete equation Δu(k + n) = −p(k)u(k) with positive coefficient p is considered. Sufficient conditions with respect to p are formulated in order to guarantee the existence of positive solutions if k → ∞. As a tool of the proof of corresponding result, the method described in the author′s previous papers is used.
Jaromír Baštinec, Josef Diblík
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Uniqueness on entire functions and their nth order exact differences with two shared values
Open Mathematics, 2020 Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δcnf(z){\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z).
Chen Shengjiang, Xu Aizhu
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