Báo cáo hóa học: "Research Article Asymptotic Representation of the Solutions of Linear Volterra Difference Equations" pdf

... : Z→R and it is called the solution of the initial value problem 3.7, 3.8. The asymptotic representation of the solutions of 3.7 is given under the next condition. A There exists a λ 0 ∈ ... provided the original work is properly cited. 1. Introduction The literature on the asymptotic theory of the solutions of Volterra difference equations is ex...

Ngày tải lên: 22/06/2014, 11:20

... reported that the nature of dither is most important in the flat regions of the image [12]. This phenomenon is due to the spatial masking effects that hide the presence of noise in regions of the image ... used in the rest of this paper. Let I be the total number of frames in V c .LetM be the total number of pixel rows in each frame of V c , and let N be thetot...

Ngày tải lên: 21/06/2014, 08:20

... ε k , 3.7 and therefore,  Tz k−1 − z k  ≤ ε k 3.8 as announced. The next result is used in order to establish the fact that the sequence defined in Theorem 3.1 approximates the solution of the nonlinear ... approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approxi...

Ngày tải lên: 21/06/2014, 10:20

... solution of V , then the second integral in 2.2 is divergent. So, at first we will investigate the properties of the positive solutions of V ,and then we will be able to study the oscillation of ... to study the properties of E with the help of E C . Without loss of generality, we can deal only with the positive solutions of E. Since every solution...

Ngày tải lên: 21/06/2014, 11:20

... years, the problem has attracted a great deal of people. Lions 6 used the theory of maximal monotone operators to solve the existence of solution of the following problem: Δu  0, in Ω ×  0,T  , ... 1.7 Hintermann 2 used the theory of semigroups in Banach spaces to give the existence and uniqueness of the solution for problem 1.5–1.7. Cavalcanti et al. 7...

Ngày tải lên: 21/06/2014, 11:20

... shows the values of all parameters used in the simulation. The following metrics are computed to evaluate the impact of each mobility model on the performance of the Bypass-AODV as well as the ... introducing the new protocol. (2) The goodput of the TCP is the number of sequenced bits that a TCP receiver receives per unit of time. This measure will show the...

Ngày tải lên: 21/06/2014, 11:20

... 0,T. The results of the following two lemmas we use in the proofs of the existence of positive and dead-core solutions to problem 1.1, 1.2. Lemma 2.8. Let (H 1 )–(H 3 ) hold. Then there ... If the values of λ are sufficiently small, then all sequential solutions of problem 3.17, 1.2 are positive solutions by Theorem 3.2. Theorem 3.3 guarantees that all sequen...

Ngày tải lên: 21/06/2014, 18:20

... ρ(x) is the probability density function of the variablex. The entropic uncertainty principle plays one important role in signal processing and information theory. They are the extensions of traditional ... 14–16, 28, 29] are a basic tool in the study of Fourier analysis or information theory, and many important theorems or principles are derived from them. One of them is t...

Ngày tải lên: 21/06/2014, 20:20

... boundedness of the solutions of third-order nonlinear differential equations,” Kuwait Journal of Science & Engineering, vol. 32, no. 1, pp. 39–48, 2005. 28 E. Tunc¸, “On the convergence of solutions ... 1999. Journal of Inequalities and Applications 3 2. Nonoscillation Behaviors of Solutions of 1.1 In this section, we obtain sufficient conditions for the nonosci...

Ngày tải lên: 22/06/2014, 02:20

... computation of the structure of the roots of q-Bernoulli polynomials,” to appear in Journal of Computational and Applied Mathematics. [15] C.S.Ryoo,T.Kim,andR.P.Agarwal,“Anumericalinvestigationoftherootsofq-polynomials,” International ... we use the following notations. By Z p we denote the ring of p-adic rational integers, Q denotes the field of rational numbers, Q p den...

Ngày tải lên: 22/06/2014, 18:20