Results 31 to 40 of about 723 (99)
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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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 certain comparison theorems for half‐linear dynamic equations on time scales
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 551-565, 2004., 2004 We obtain comparison theorems for the second‐order half‐linear dynamic equation [r(t)Φ(yΔ)]Δ+p(t)Φ(yσ)=0, where Φ(x) = |x|α−1sgn x with α > 1. In particular, it is shown that the nonoscillation of the previous dynamic equation is preserved if we multiply the coefficient p(t) by a suitable function q(t) and lower the exponent α in the nonlinearity Φ ...
Pavel Řehák
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Oscillation of Second-Order Half-linear Retarded Difference Equations via a Canonical Transform
Nonautonomous Dynamical Systems, 2022 The aim of this paper is to investigate the second order half-linear retarded difference equation Δ(μ(n)(Δη(n))α)+δ(n)ηα(σ(n))=0\Delta \left( {\mu \left( n \right){{\left( {\Delta \eta \left( n \right)} \right)}^\alpha }} \right) + \delta \left( n \right)
Srinivasan R. +3 more
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Necessary conditions for linear noncooperative N-player delta differential games on time scales
, 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.
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Accurate solution estimates for vector difference equations
International 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
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Oscillation and Property B for Semi-Canonical Third-Order Advanced Difference Equations
Nonautonomous 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
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Existence and global stability of positive periodic solutions of a discrete delay competition system
International 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
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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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International 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
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