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On local stability of stochastic delay nonlinear discrete systems with state-dependent noise

Applied mathematics and computation, 2020-06, Vol.374, p.125019, Article 125019

2020

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Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations

Applied mathematics and computation, 2022-07, Vol.425, p.126533, Article 126533

2022

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Existence of global solutions to nonlinear mixed-type functional differential equations

Nonlinear analysis, 2020-06, Vol.195, p.111731, Article 111731

2020

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On the New Control Functions for Linear Discrete Delay Systems

SIAM journal on control and optimization, 2014-01, Vol.52 (3), p.1745-1760

2014

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Multiplicity of solutions for nonlinear coercive problems

Journal of mathematical analysis and applications, 2023-12, Vol.528 (1), p.127473, Article 127473

2023

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Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Applied mathematics and computation, 2015-04, Vol.257, p.230-240

2015

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Exponential stability of linear discrete systems with constant coefficients and single delay

Applied mathematics letters, 2016-01, Vol.51, p.68-73

2016

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Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis

Applied mathematics and computation, 2019-10, Vol.358, p.363-381

2019

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Fredholm’s boundary-value problems for differential systems with a single delay

Nonlinear analysis, 2010-03, Vol.72 (5), p.2251-2258

2010

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Optimal stabilization for differential systems with delays - Malkin’s approach

Journal of the Franklin Institute, 2019-06, Vol.356 (9), p.4811-4841

2019

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Two classes of positive solutions of first order functional differential equations of delayed type

Nonlinear analysis, 2012-09, Vol.75 (13), p.4807-4820

2012

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Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices

Ukrainian mathematical journal, 2013-06, Vol.65 (1), p.64-76

2013

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Exponential Stability of Linear Discrete Systems with Multiple Delays

Discrete dynamics in nature and society, 2018-01, Vol.2018 (2018), p.1-7

2018

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Asymptotic convergence of the solutions of a discrete equation with several delays

Applied mathematics and computation, 2012, Vol.218 (9), p.5391-5401

2012

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Asymptotic convergence of the solutions of a discrete system with delays

Applied mathematics and computation, 2012-12, Vol.219 (8), p.4036-4044

2012

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On the Position of Chaotic Trajectories

Journal of dynamics and differential equations, 2017-12, Vol.29 (4), p.1423-1458

2017

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Asymptotic Upper and Lower Estimates of a Class of Positive Solutions of a Discrete Linear Equation with a Single Delay

Abstract and Applied Analysis, 2012-01, Vol.2012 (2012), p.136-147-609

2012

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Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions

Applied mathematics and computation, 2014-02, Vol.228, p.77-90

2014

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Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

Nonlinear dynamics, 2015-07, Vol.81 (1-2), p.353-371

2015

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Existence and Asymptotic Behavior of Positive Solutions of Functional Differential Equations of Delayed Type

Abstract and Applied Analysis, 2011-01, Vol.2011 (2011), p.3298-3313

2011

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A note on explicit criteria for the existence of positive solutions to the linear advanced equation ẋ(t)=c(t)x(t+τ)

Applied mathematics letters, 2014-09, Vol.35, p.72-76

Diblik, J

2014

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On Stability of Linear Delay Differential Equations under Perron's Condition

Abstract and Applied Analysis, 2011-01, Vol.2011 (2011), p.135-143

2011

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Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales

Abstract and Applied Analysis, 2012-01, Vol.2012 (2012), p.702-721-443

2012

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Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems

Abstract and Applied Analysis, 2011-01, Vol.2011 (2011), p.2648-2666

2011

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Representation of solutions of linear discrete systems with constant coefficients and pure delay

Advances in difference equations, 2006, Vol.2006, p.1-13

2006

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On local stability of stochastic delay nonlinear discrete systems with state-dependent noise

Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations

Existence of global solutions to nonlinear mixed-type functional differential equations

On the New Control Functions for Linear Discrete Delay Systems

Multiplicity of solutions for nonlinear coercive problems

Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Exponential stability of linear discrete systems with constant coefficients and single delay

Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis

Fredholm’s boundary-value problems for differential systems with a single delay

Optimal stabilization for differential systems with delays - Malkin’s approach

Two classes of positive solutions of first order functional differential equations of delayed type

Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices

Exponential Stability of Linear Discrete Systems with Multiple Delays

Asymptotic convergence of the solutions of a discrete equation with several delays

Asymptotic convergence of the solutions of a discrete system with delays

On the Position of Chaotic Trajectories

Asymptotic Upper and Lower Estimates of a Class of Positive Solutions of a Discrete Linear Equation with a Single Delay

Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions

Dynamics of generalized PT-symmetric dimers with time-periodic gain–loss

Existence and Asymptotic Behavior of Positive Solutions of Functional Differential Equations of Delayed Type

A note on explicit criteria for the existence of positive solutions to the linear advanced equation ẋ(t)=c(t)x(t+τ)

On Stability of Linear Delay Differential Equations under Perron's Condition

Asymptotic Convergence of the Solutions of a Dynamic Equation on Discrete Time Scales

Boundary-Value Problems for Weakly Nonlinear Delay Differential Systems

Representation of solutions of linear discrete systems with constant coefficients and pure delay

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