[PDF] Top 20 Stability Analysis of a Nonlinear Difference Equation
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Stability Analysis of a Nonlinear Difference Equation
... asymptotic stability of the equilibrium point of Equation ...Linearized Stability Theorem. A suitable Lyapunov function for the analysis of the global asymptotic stability behavior was ... See full document
6
On the solutions of a rational recursive sequence
... asymptotic stability analysis for a class of nonlinear high order difference ...asymptotic stability and unstability of the equilibrium point for the nonlinear difference ... See full document
9
Trichotomy, stability, and oscillation of a fuzzy difference equation
... a nonlinear di ff erence equation concerning a real-world phenomenon from experimental input-output data, which is uncertain, incomplete, imprecise, or vague, has been attracting increasing attention in ... See full document
21
Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
... the stability of functional equations in ...then, stability of such form is known as Ulam–Hyers ...Ulam–Hyers stability of mappings by considering ... See full document
31
Strong Stability of a Nonlinear Difference System
... of difference equations can explain better the construction of discrete mathematical models, when compared to continuous ...for stability of solutions of differential system have been studied by many ... See full document
6
ATTRACTIVITY OF A HIGHER ORDER NONLINEAR DIFFERENCE EQUATION
... Motivated by the above conjecture, more generally, our main aim in this paper is to investigate the local stability and the global attractivity of the equilibrium y of Eq.(1.1). Here, for the sake of convenience, ... See full document
12
A Part Metric Related Inequality Chain and Application to the Stability Analysis of Difference Equation
... Xiaofan Yang: College of Computer Science, Chongqing University, Chongqing 400044, China Email addresses: xf [email protected]; xf [email protected] Maobin Yang: College of Computer Science,[r] ... See full document
9
The Stability Cone for a Matrix Delay Difference Equation
... the stability of the scalar equation ...the stability oval for ...the stability of the scalar equation ...asymptotic stability of matrix equation ...the stability ... See full document
16
Stability problem of some nonlinear difference equations
... Our aim in this paper is to study the asymptotic stability of the rational recursive sequence 1.4 when p 2, see section 2.. On the basis of the results of section 2 we also investigate t[r] ... See full document
10
Dynamic behavior of a nonlinear rational difference equation and generalization
... The rest of this paper proceeds as follows. In Sect. 2, we introduce some definitions and preliminary lemmas. Section 3 contains the main results and their proofs. In Sect. 4, we prove the stability for ... See full document
8
Regarding the dynamics of a third order nonlinear difference equation
... and stability of equilibrium point of this equation and some related ...characteristic equation, and investigate the direction of this bifurcations by using normal form ... See full document
15
The Finite Difference Methods for –Nonlinear Klein Gordon Equation
... mathematical analysis of a wide variety of problems in applied mathematics, mathematical physics, and engineering ...of nonlinear partial differential equations (PDEs) is an important and essential task in ... See full document
5
On the nature of solutions of the difference equation $\mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
... studying nonlinear difference equations which do not stem from differential equations (see, for example, [1]–[37] and the references ...global stability ([1, 8, 14, 16, 17], [29]–[35]), as well as ... See full document
20
Stability and asymptotic properties of a linear fractional difference equation
... for the m-fold sum (for more details see, e.g. []). We note that the definition sum (.) is almost identical with related introductions in [] and [], where, comparing with (.), the term corresponding to k = has ... See full document
14
On a class of second order nonlinear difference equation
... Proof We must prove that the positive equilibrium point x ¯ of Equation (1.1) is both locally asymptotically stable and globally attractive. Theorem 3.5 has shown the local asymptotic stability of x. Hence, ... See full document
9
THE RULE OF CYCLE LENGTH AND GLOBAL ASYMPTOTIC STABILITY FOR A FOURTH ORDER NONLINEAR DIFFERENCE EQUATION
... a nonlinear equation instead of a rational difference equation one ...of nonlinear difference equations of order greater than ...of nonlinear difference equations ... See full document
7
Boundedness Character of a Symmetric System of Max-type Difference Equations
... and analysis of max-type difference ...various difference equations and it can be applied to other nonlinear differential equations in mathematical ... See full document
7
Dynamics for Nonlinear Difference Equation
... the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the ... See full document
13
Oscillation analysis for nonlinear difference equation with non monotone arguments
... Oscillation theory of difference equations has attracted many researchers. In recent years there has been much research activity concerning the oscillation and nonoscillation of solutions of delay difference equations. For ... See full document
11
Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation
... the stability of impulsive difference equations see 15, 20 ...uniform stability and global attractivity of the zero solution of the following nonlinear scalar delay impulsive difference ... See full document
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