Results 31 to 40 of about 1,127 (130)
Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 285-294, 2004., 2004 We present basic methods of oscillation theory of symplectic difference systems (SDSs). A particular attention is devoted to the variational principle and to the transformation method. Hyperbolic Prüfer transformation for SDSs is established.
Ondřej Došlý
wiley +1 more source
Oscillatory Properties of Solutions of the Fourth Order Difference Equations with Quasidifferences [PDF]
, 2014 A class of fourth--order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four--dimensional difference system.
Jankowski, Robert +2 more
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Accurate solution estimates for nonlinear nonautonomous vector difference equations
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 603-611, 2004., 2004 The paper deals with the vector discrete dynamical system xk+1 = Akxk + fk(xk). Thewell‐known result by Perron states that this system is asymptotically stable if Ak ≡ A = const is stable and fk(x)≡f˜(x)=o(‖x‖). Perron′s result gives no information about the size of the region of asymptotic stability and norms of solutions.
Rigoberto Medina, M. I. Gil′
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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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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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Miskolc Mathematical Notes, 2019 The authors present some new oscillation criteria for second order nonlinear difference equations with a nonlinear nonpositive neutral term of the form a.t/ x.t/ p.t/x.t k/ Cq.t/x .tC1 m/D 0; with positive coefficients.
S. Grace, J. Graef
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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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Fractional Differential Calculus, 2019 In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
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