[PDF] Top 20 Asymptotic Representation of the Solutions of Linear Volterra Difference Equations
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Asymptotic Representation of the Solutions of Linear Volterra Difference Equations
... the asymptotic theory of the solutions of Volterra difference equations is extensive, and application of this theory is rapidly increasing to various ...difference equations, we choose to ... See full document
22
Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations
... the difference equations and functional difference equations, the existence of almost periodic solutions of almost periodic systems has been studied by many ...periodic solutions ... See full document
11
On the boundedness of the solutions in nonlinear discrete Volterra difference equations
... the solutions of a linear inhomogeneous Volterra difference system with the critical case ∞ i=0 || A(i) || = 1 ...the solutions of linear Volterra difference ... See full document
20
On linear Volterra difference equations with infinite delay
... of solutions of linear neutral Volterra difference equations with infinite delay, and, especially, of linear (non-neutral) Volterra di ff erence equations with infinite ... See full document
28
Asymptotic behavior of a competitive system of linear fractional difference equations
... different asymptotic results ranging from very simple behavior where all solutions are converging to (0, 0) when A > 1, B > 1, to the case of an infinite number of nonhyperbolic equilibrium points when ... See full document
13
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions
... It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for ... See full document
20
Error Bounds for Asymptotic Solutions of Second Order Linear Difference Equations II: The First Case
... for asymptotic solutions to second order linear difference equations in the first ...for Asymptotic Solutions of Second-order Linear Difference Equation II: the second ... See full document
19
Nonoscillatory half linear difference equations and recessive solutions
... dominant solutions for the nonoscillatory half-linear difference equation are ...zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ... See full document
12
The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... approximate solutions of the nonlinear ...solving linear and nonlinear problems in various ...nonlinear Volterra Integral Equations of the second ... See full document
14
A finite difference method for the smooth solution of linear Volterra integral equations
... Nevertheless, in practice there are problems which do not fit in the framework of this method. In fact, they do not satisfy the smoothness condition required for the solution. Fortunately, there are some techniques based ... See full document
10
Periodicity of solutions of nonhomogeneous linear difference equations
... the linear difference equation, where one of the coefficients is periodic or con- stant and the others asymptotically approach zero, and obtained sufficient conditions for the existence of asymptotically periodic ... See full document
11
On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations
... The real-valued (ω, c)-periodic functions were introduced and studied by G. Floquet in [12]. He called this set of functions as periodic functions of the second kind. In that paper, Floquet considered a linear ... See full document
12
Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
... difference equations/recurrent relations started to attract a serious interest of scientist working in various branches of ...the equations, and the area has been growing ...difference equations and ... See full document
21
Global asymptotic stability of solutions of cubic stochastic difference equations
... Consequently, under (4.6), (4.7), and (4.8), our main result says that 0 is an asymp- totically stable equilibrium for the method (4.2) with probability one. Thus, this extends results for the linear case (cf. [9, ... See full document
12
Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
... positive linear Volterra difference equations in Banach lattices, the uniform asymptotic stability of the zero solution is studied in connection with the summability of the fundamental solution ... See full document
15
Singularly perturbed Volterra integral equations with weakly singular kernels
... finding asymptotic solutions of the singularly perturbed linear Volterra in- tegral equations with weakly singular ...layer solutions to decay algebraically rather than ... See full document
15
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... consider linear and nonlinear Volterra integral equations of the second ...a linear equation of the second kind and the ordinary differential equation to integral equation we are going to ... See full document
7
Asymptotic Behavior of Solutions for Linear Implicit Difference Equations with Index 1
... the asymptotic behavior of solutions of constant coefficient linear implicit difference equations with index ...all solutions of the original implicit equation Ex n ( + 1 ) = Ax ... See full document
10
Asymptotic behavior of a system of linear fractional difference equations
... [1]. Introducing the positive parameters a and d, we have created the unique positive equilibrium and we have forced all solutions of (1.1) to converge to this unique positive equilibrium. A similar conclusion ... See full document
17
Asymptotic constancy of solutions of systems of difference equations
... After, we have studied the existence of convergent solutions of nonlinear systems whose linear part has a dichotomy See 13, 14, 16-18] These results are obtained under absolutely summabl[r] ... See full document
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