2019
Том 71
№ 7

# Stavroulakis I. P.

Articles: 3
Article (English)

### Asymptotic behavior of higher-order neutral difference equations with general arguments

Ukr. Mat. Zh. - 2013. - 65, № 3. - pp. 430-450

We study the asymptotic behavior of solutions of the higher-order neutral difference equation $$Δm[x(n)+cx(τ(n))]+p(n)x(σ(n))=0,N∍m≥2,n≥0,$$ where $τ (n)$ is a general retarded argument, $σ(n)$ is a general deviated argument, $c ∈ R; (p(n)) n ≥ 0$ is a sequence of real numbers, $∆$ denotes the forward difference operator $∆x(n) = x(n+1) - x(n)$; and $∆^j$ denotes the jth forward difference operator $∆^j (x(n) = ∆ (∆^{j-1}(x(n)))$ for $j = 2, 3,…,m$. Examples illustrating the results are also given.

Article (English)

### Stability analysis with respect to two measures of impulsive systems under structural perturbations

Ukr. Mat. Zh. - 1999. - 51, № 11. - pp. 1476–1484

The asymptotic stability with respect to two measures of impulsive systems under structural perturbations is investigated. Conditions of asymptotic (ρ0, ρ)-stability of the system in terms of the fixed signs of some special matrices are established.

Article (English)

### Stability analysis of linear impulsive differential systems under structural perturbation

Ukr. Mat. Zh. - 1999. - 51, № 6. - pp. 784–795

The stability and asymptotic stability of solutions of large-scale linear impulsive systems under structural perturbations are investigated. Sufficient conditions for stability and instability are formulated in terms of the fixed signs of special matrices.