Buchumschlag

Nonlinear differential equations with asymptotically stable solutions

We establish conditions of asymptotic stability of all solutions of the equation \(\frac{{dx}}{{dt}} = A(x)x\) , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ

Gespeichert in:

Bibliographische Detailangaben
Datum:	1998
Hauptverfasser:	Slyusarchuk, V. E., Слюсарчук, В. Е.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1998
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4960
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

Nonlinear difference equations with asymptotically stable solutions
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (1997)

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)

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

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

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

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)

Almost periodic and Poisson stable solutions of difference equations in metric spaces
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2015)

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

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

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)

Discrete dynamical systems with invariant asymptotically stable toroidal manifold
von: Samoilenko, A. M., et al.
Veröffentlicht: (1999)

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

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

Linear differential-functional equations with absolutely unstable solutions
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2026)

Asymptotic representation of solutions of differential equations with rightly varying nonlinearities
von: Evtukhov, V. M., et al.
Veröffentlicht: (2017)

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

Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution
von: Samoilenko, A. M., et al.
Veröffentlicht: (1997)

Almost Periodic Solutions of Nonlinear Equations that are not Necessarily Almost Periodic in Bochner’s Sense
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2015)

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)

Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case
von: Karandzhulov, L.I.
Veröffentlicht: (2018)

Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case
von: L. I. Karandzhulov
Veröffentlicht: (2018)

Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$
von: Slyusarchuk, V. E., et al.
Veröffentlicht: (1996)

Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps
von: Slyusarchuk, V. Yu., et al.
Veröffentlicht: (2016)

On the asymptotic stability of solutions of nonlinear delay differential equations
von: C. Tunз, et al.
Veröffentlicht: (2020)

Asymptotic representation of solutions of differential equations with rightly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2017)

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)

Asymptotics of rapidly varying solutions of the differential equations asymptotically close to the equations with regularly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2019)

Asymptotic behavior of solutions to nonlinear systems of ordinary differential equations
von: V. M. Evtukhov, et al.
Veröffentlicht: (2014)

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

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

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
von: Evtukhov, V. M., et al.
Veröffentlicht: (2019)

Asymptotic behavior of solutions of essentially nonlinear second order differential equations
von: E. S. Vladova
Veröffentlicht: (2016)

Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
von: Perestyuk, N. A., et al.
Veröffentlicht: (2009)

On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities
von: Evtukhov , V. M., et al.
Veröffentlicht: (2021)

Asymptotic representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2009)

On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities
von: V. M. Yevtukhov, et al.
Veröffentlicht: (2021)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2019)

Asymptotic representations of solutions of differential equations with regularly and rapidly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2017)

Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2008)