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and Applied Analysis 3 Proof. Let z(n) ∈ W. By virtue of (9),

- Akbar Zada
- 2008

We prove that a quadratic matrix of order n having complex entries is dichotomic (i.e. its spectrum does not intersect the imaginary axis) if and only if there exists a projection P on Cn such that… (More)

- Akbar Zada
- 2010

Let us denote by Z+ the set of all nonnegative integer numbers. We prove that a square size matrix A of order m having complex entries is dichotomic (i.e., its spectrum does not intersect the set {z… (More)

Let $$q$$q be a positive integer and let $$X$$X be a complex Banach space. We denote by $$\mathbb {Z}_+$$Z+ the set of all nonnegative integers. Let $$P_q (\mathbb {Z}_+,X)$$Pq(Z+,X) is the set of… (More)

The purpose of this paper is to present the fundamental concepts of the basic theory for linear impulsive systems on time scales. First, we introduce the transition matrix for linear impulsive… (More)

We study the existence of nonoscillatory solutions to a class of third-order neutral functional dynamic equations on time scales. The integral convergence and divergence of the reciprocal of the… (More)

We consider ℓ-Volterra quadratic stochastic operators defined on (m − 1)-dimensional simplex, where ℓ ∈ {0, 1, ..., m}. Under some conditions on coefficients of such operators we describe Lyapunov… (More)