Buchumschlag

Linear differential-functional equations with absolutely unstable solutions

UDC 517.929 For linear differential-functional equations of retarded and neutral types with infinitely many deviations and self-adjoint operator coefficients, we present necessary and sufficient conditions for the absolute instability of the zero solutions.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2026
Hauptverfasser:	Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1536
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Differential Equations with Absolutely Unstable Trivial Solutions
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2013)

Linear differential-functional equations with absolutely unstable solutions
von: Yu. Sliusarchuk
Veröffentlicht: (2019)

Differential Equations with Absolutely Unstable Trivial Solutions
von: Yu. Sliusarchuk
Veröffentlicht: (2013)

Difference equation with absolutely unstable zero solutions
von: Yu. Sliusarchuk
Veröffentlicht: (2013)

Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2018)

Essentially unstable solutions of difference equations
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (1999)

Linear functional equations with Dh-unstable solutions
von: Yu. Sliusarchuk
Veröffentlicht: (2019)

Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2010)

Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2009)

Absolute asymptotic stability of solutions of linear parabolic differential equations with delay
von: Kushnir, V. P., et al.
Veröffentlicht: (2007)

On the rate of convergence of an unstable solution of a stochastic differential equation
von: Mynbaeva, G. U., et al.
Veröffentlicht: (1994)

Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2009)

Conditions of existence of bounded and almost periodic solutions of nonlinear differential equation with perturbations of solutions
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2016)

Nonlinear differential equations with asymptotically stable solutions
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (1998)

Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2013)

Investigation of systems of differential equations with delays and constraints imposed on the delays and derivatives of the solutions
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2019)

General Theorems on the Existence and Uniqueness of Solutions of Impulsive Differential Equations
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (2000)

Favard – Amerio theory for almost periodic functional-differential equations without the use of $H$-classes of these equations
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2017)

A Criterion for the Existence of Almost Periodic Solutions of Nonlinear Differential Equations with Impulsive Perturbation
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2015)

Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2014)

On the Favard theory without $H$ -classes for differential-functional equations in Banach spaces
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2019)

Strengthening of the Kneser theorem on zeros of solutions of the equation $u″ + q(t)u = 0$ using one functional equation
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2010)

Method of local linear approximation for nonlinear discrete equations
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2019)

On solutions of linear functional differential equations with linearly transformed argument on a semiaxis
von: Denysenko, N. L., et al.
Veröffentlicht: (2007)

Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations
von: Perestyuk , M. O., et al.
Veröffentlicht: (2021)

Necessary and sufficient conditions for the oscillation of solutions of nonlinear differential equations with pulse influence in a banach space
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (1999)

Asymptotic limits of solutions of linear systems of functional-differential equations with linear and constant delays
von: H. P. Peliukh, et al.
Veröffentlicht: (2020)

Asymptotic estimates for the solutions of a differential-functional equation with linear delay
von: Bel’skii, D. V., et al.
Veröffentlicht: (2019)

Asymptotic behavior of solutions of the differential-functional equation with linearly transformed argument
von: Pelyukh, G. P., et al.
Veröffentlicht: (2020)

On asymptotic properties of solutions to differential-functional equations with linearly transformed argument
von: D. V. Belskij, et al.
Veröffentlicht: (2017)

Asymptotic behavior of solutions of the differential-functional equation with linearly transformed argument
von: G. P. Peljukh, et al.
Veröffentlicht: (2020)

Asymptotic estimates for the solutions of a differential-functional equation with linear delay
von: G. P. Peljukh, et al.
Veröffentlicht: (2019)

Periodic solutions of nonlinear differential equations with pulse influence in a banach space
von: Perestyuk, N. A., et al.
Veröffentlicht: (1995)

Invertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axis
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2021)

Asymptotic properties of solutions of the functional-differential equation with a linearly transformed argument
von: G. P. Peljukh, et al.
Veröffentlicht: (2018)

On asymptotic properties of solutions of a differential-functional equation with linearly transformed argument
von: D. V. Belskij, et al.
Veröffentlicht: (2013)

Asymptotic behavior of solutions of the functional-differential equation with a linearly transformed argument
von: G. P. Peljukh, et al.
Veröffentlicht: (2019)

On the Asymptotic Behavior of Solutions of Linear Differential Equations
von: Nguyen Minh Man, et al.
Veröffentlicht: (2003)

Positive solutions of linear impulsive differential equations
von: Akhmet, M.U., et al.
Veröffentlicht: (2005)

On the Asymptotic Behavior of Solutions of Linear Differential Equations
von: Nguyen, Minh Man, et al.
Veröffentlicht: (2003)