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1

Conditions for the absolute instability of solutions of differential-difference equations

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2004

Language:

english

File:

PDF, 82 KB

english, 2004

2

Nonlinear Differential Equations with Quasinilpotent Operator and Unstable Trivial Solution

V. Yu. Slyusarchuk, V. I. Sukretnyi

Journal:

Nonlinear Oscillations

Year:

2005

Language:

english

File:

PDF, 432 KB

english, 2005

3

Invertibility conditions for the nonlinear difference operator((mathcal{D}x)(n) = x(n + 1) - f(x(n)))in the spacel∞(ℤ, ℝ)

V.Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2006

Language:

english

File:

PDF, 545 KB

english, 2006

4

Nonlinear differential equations with solutions bounded on ℝ

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2008

Language:

english

File:

PDF, 161 KB

english, 2008

5

Invertibility of the nonlinear operator(left( {{mathcal{L}}x} ight)left( t ight) = Hleft( {xleft( t ight),;frac{{dxleft( t ight)}} {{dt}}} ight))in the space of functions bounded on the axis

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2008

Language:

english

File:

PDF, 226 KB

english, 2008

6

Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2009

Language:

english

File:

PDF, 733 KB

english, 2009

7

Generalization of the Kneser theorem on zeros of solutions of the equationy″ +p(t)y= 0

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2007

Language:

english

File:

PDF, 112 KB

english, 2007

8

Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 182 KB

english, 2008

9

Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2009

Language:

english

File:

PDF, 146 KB

english, 2009

10

Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations

M. O. Perestyuk, V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2009

Language:

english

File:

PDF, 132 KB

english, 2009

11

Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2009

Language:

english

File:

PDF, 178 KB

english, 2009

12

Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations

V.Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2010

Language:

english

File:

PDF, 231 KB

english, 2010

13

Strengthening of the Kneser theorem on zeros of solutions of the equationu″ +q(t)u = 0 using one functional equation

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2011

Language:

english

File:

PDF, 106 KB

english, 2011

14

On Stability with Respect to Linear Approximation

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2004

Language:

english

File:

PDF, 150 KB

english, 2004

15

Conditions for the Existence of Nonoscillating Solutions of Nonlinear Differential Equations with Delay and Pulse Influence in a Banach Space

M.O. Perestyuk, V.Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 125 KB

english, 2003

16

Necessary and sufficient conditions for oscillation of solutions of nonlinear pulse systems with multiplicatively separated right-hand side

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

1995

Language:

english

File:

PDF, 459 KB

english, 1995

17

Exponentially dichotomous difference equations with non-Lipschitz perturbations

V. Yu. Slyusarchuk

Journal:

Nonlinear Oscillations

Year:

2012

Language:

english

File:

PDF, 292 KB

english, 2012

18

Method of local linear approximation of nonlinear differential operators by weakly regular operators

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2012

Language:

english

File:

PDF, 279 KB

english, 2012

19

Method of locally linear approximation of nonlinear difference operators by weakly regular operators

V. Yu. Slyusarchuk

Journal:

Journal of Mathematical Sciences

Year:

2012

Language:

english

File:

PDF, 306 KB

english, 2012

20

Denseness of the set of Cauchy problems with nonunique solutions in the set of all Cauchy problems

V. Yu. Slyusarchuk

Journal:

Ukrainian Mathematical Journal

Year:

2012

Language:

english

File:

PDF, 151 KB

english, 2012

21

Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2013

File:

PDF, 33 KB

2013

22

Conditions of Almost Periodicity for Bounded Solutions of Nonlinear Difference Equations with Continuous Argument

Slyusarchuk, V.Yu.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 94 KB

english, 2014

23

Nonlinear difference equations in the spaces of bounded two-sided sequences

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2013

Language:

english

File:

PDF, 281 KB

english, 2013

24

Differential Equations with Absolutely Unstable Trivial Solutions

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 131 KB

english, 2014

25

Conditions for the Existence of Almost Periodic Solutions of Nonlinear Difference Equations with Discrete Argument

V.Yu. Slyusarchuk

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 118 KB

english, 2014

26

Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 153 KB

english, 2014

27

Difference equations with absolutely unstable trivial solutions

Slyusarchuk, V.Yu.

Journal:

Journal of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 138 KB

english, 2014

28

Almost Periodic Solutions of Nonlinear Equations that are not Necessarily Almost Periodic in Bochner’s Sense

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 188 KB

english, 2015

29

A Criterion for the Existence of Almost Periodic Solutions of Nonlinear Differential Equations with Impulsive Perturbation

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 164 KB

english, 2015

30

Almost Periodic Solutions of Nonlinear Discrete Systems that Can Be Not Almost Periodic in Bochner’s Sense

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2016

Language:

english

File:

PDF, 153 KB

english, 2016

31

Periodic and Almost Periodic Solutions of Difference Equations in Metric Spaces

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2016

Language:

english

File:

PDF, 121 KB

english, 2016

32

Almost Periodic and Poisson Stable Solutions of Difference Equations in Metric Spaces

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2016

Language:

english

File:

PDF, 141 KB

english, 2016

33

Necessary and Sufficient Conditions for the Invertibility of Nonlinear Differentiable Maps

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2016

Language:

english

File:

PDF, 182 KB

english, 2016

34

Conditions of Solvability for Nonlinear Differential Equations with Perturbations of the Solutions in the Space of Functions Bounded on the Axis

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2017

Language:

english

File:

PDF, 156 KB

english, 2017

35

Almost Periodic Solutions of Functional Equations

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2017

Language:

english

File:

PDF, 125 KB

english, 2017

36

Favard–Amerio Theory for Almost Periodic Functional-Differential Equations Without Using the ℋ-Classes of These Equations

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2017

Language:

english

File:

PDF, 209 KB

english, 2017

37

Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2017

Language:

english

File:

PDF, 138 KB

english, 2017

38

Solvability of Difference Equations with Nonuniformly Contracting Operators in the Space of Two-Sided Sequences

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

Language:

english

File:

PDF, 141 KB

english, 2019

39

Fixed-Point Theorems and Difference Equations with Nonempty Set of Bounded Solutions

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

File:

PDF, 151 KB

2019

40

Necessary and Sufficient Conditions for the Absolute Instability of Solutions of Linear Differential-Difference Equations with Self-Adjoint Operator Coefficients

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2018

File:

PDF, 144 KB

2018

41

Non-Keplerian Behavior and Instability of Motion of Two Bodies Caused by the Finite Velocity of Gravitation

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

Language:

english

File:

PDF, 376 KB

english, 2019

42

Mathematical Model of the Solar System with Regard for the Velocity of Gravitation

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

Language:

english

File:

PDF, 546 KB

english, 2019

43

Investigation of Systems of Differential Equations with Delays and Constraints Imposed on the Derivatives of Solutions

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2019

Language:

english

File:

PDF, 206 KB

english, 2019

44

Mathematical Model of the Solar System with Regard for the Velocity of Gravitation

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

File:

PDF, 546 KB

2019

45

Non-Keplerian Behavior and Instability of Motion of Two Bodies Caused by the Finite Velocity of Gravitation

Slyusarchuk, V. Yu.

Journal:

Journal of Mathematical Sciences

Year:

2019

File:

PDF, 376 KB

2019

46

On the Favard Theory Without H$$ \mathcal{H} $$ -Classes for Differential-Functional Equations in Banach Spaces

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2019

File:

PDF, 200 KB

2019

47

A Method of Local Linear Approximation for the Nonlinear Discrete Equations

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2020

File:

PDF, 172 KB

2020

48

Conditions for the Absolute Instability of the Solutions of Difference Equations with Self-Adjoint Operator Coefficients

Slyusarchuk, V. Yu., Slyusarchuk, L. M.

Journal:

Journal of Mathematical Sciences

Year:

2020

File:

PDF, 159 KB

2020

49

Linear Functional-Differential Equations with Absolutely Unstable Solutions

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2020

File:

PDF, 151 KB

2020

50

Equations in Hilbert Spaces Whose Sets of Solutions are Invariant Under a Group Isomorphic to a One-Parameter Group of Unitary Operators

Slyusarchuk, V. Yu.

Journal:

Ukrainian Mathematical Journal

Year:

2020

File:

PDF, 186 KB

2020