[PDF] Top 20 Stability in Totally Nonlinear Neutral Dynamic Equations on Time Scales

... A time scale T is a closed nonempty subset of R . For t ∈ T the forward jump operator σ, and the backward jump operator ρ, respectively, are defined as σ (t) = inf {s ∈ T : s > t} and ρ (t) = sup {t ∈ T : s ... See full document

... and stability of solutions of dynamic equations on time scales were investigated in recent papers [1, 5–7, 11, 12] using Lyapunov’s ... See full document

... the stability for a class of quasilinear dynamic equa- tions on time ...the stability in Section 3 of this paper is still an open problem for an arbitrary time scale meanwhile it is ... See full document

... robust stability of implicit dynamic equations on time scales, which is a general form of differential algebraic equations and implicit difference ...exponential stability ... See full document

... We investigate the exponential stability of the zero solution to a system of dynamic equa- tions on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate ... See full document

... on time scales, property of exponential functions on time scales and characterizes the stability domain of a time ...the stability domains ... See full document

... asymptotic stability of dynamic equations on a time scale goes back to Aulbach and Hilger ...scalar dynamic equation, stability and instability results were obtained by Gard and ... See full document

... and stability of delay dynamic equations on time ...for dynamic equations can be found in the articles [6–23] and the references cited ... See full document

... of nonlinear differential and difference equations have been developed rapidly in the recent ...of time scale united the differential and difference ones, and since then many researchers have investi- ... See full document

... delay dynamic equations on time scales, in this paper, by using the averaging technique and the generalized Riccati transformation, we consider the second-order nonlinear neutral ... See full document

... on a time scale T. Throughout this paper, it is assumed that γ ≥  is a quotient of odd positive integers,  < a < b, τ (t) : T → T, is rd-continuous function such that τ (t) ≤ t and τ (t) → ∞ as t → ∞, δ(t, ... See full document

... of dynamic equations on time scales, which goes back to its founder Hilger [], has recently attracted attention of ...of time scales, by Bohner and Peterson [, ], present much ... See full document

... of time scales was introduced by Hilger [1] in order to unify, extend and generalize ideas from discrete calculus, quantum calculus and continuous calculus to arbitrary time scale ...of time ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document

... of nonlinear dynamic equations on time scales in the last few years; see [–] and the references ...third-order nonlinear delay dynamic ... See full document

... Zhang and Wang Advances in Difference Equations (2015) 2015 7 DOI 10 1186/s13662 014 0337 y R E S E A R C H Open Access Oscillation of second order nonlinear neutral dynamic equations with distributed[.] ... See full document

... order nonlinear neutral delay dynamic equations on time scales, ...quasi-linear neutral delay dynamic equations on time scale, ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... advanced dynamic equation on time scales, such as the h- difference equation (h > 0), and it is also called a finite difference equation, ...differential equations on time ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real numbers. For t ∈ T, we define the forward jump operator σ : T → T by σ ( t ) = inf { s ∈ T : s > t } , and the backward jump operator ρ ( t ) = ... See full document