Cover Image

Global λ-Stability of One Nonautonomous Quasilinear Second-Order Equation

We establish sufficient conditions for the λ-stability of the trivial solution of one quasilinear differential equation of the second order.

Saved in:

Bibliographic Details
Date:	2002
Main Authors:	Vitrychenko, I. E., Вітриченко, І. Є.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4157
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On oscillation of solutions of a nonautonomous quasilinear second-order equation
by: Vitrychenko, I. E., et al.
Published: (1994)

Critical Cases of the π-Stability of a Nonautonomous Quasilinear Equation of the nth Order
by: Vitrychenko, I. E., et al.
Published: (2004)

Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order
by: Vitrychenko, I. E., et al.
Published: (1997)

A critical case of stability of one quasilinear difference equation of the second order
by: Vitrychenko, I. E., et al.
Published: (1999)

On a special critical case of stability of a nonautonomous essentially nonlinear system
by: Vitrychenko, I. E., et al.
Published: (2005)

On the instability of one nonautonomous essentially nonlinear equation of thenth order
by: Vitrychenko, I. E., et al.
Published: (1999)

On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots
by: Vitrychenko, I. E., et al.
Published: (1994)

Functional polystability of some nonautonomous quasilinear differential systems
by: Vitrychenko, I. E., et al.
Published: (1999)

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

Nontrivial periodic solutions of a nonautonomous system of second-order differential equations
by: Terekhin, M. T., et al.
Published: (1994)

On the Fragmen–Lindelof theorems for quasilinear elliptic equations of the second order
by: Kurta , V. V., et al.
Published: (1992)

Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
by: Evtukhov, V. M., et al.
Published: (2012)

Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order
by: Sleptsova, I. P., et al.
Published: (2005)

Asymptotic representations of solutions of one class of nonlinear nonautonomous differential equations of the third order
by: Evtukhov, V. M., et al.
Published: (2007)

Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order
by: Petrovskii, Ya. B., et al.
Published: (1996)

Behaviour of solutions of quasilinear elliptical equations of the second order in nonrestricted regions
by: Kurta , V. V., et al.
Published: (1992)

Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Ch. Zhang, et al.
Published: (2018)

Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Chenghui Zhang, et al.
Published: (2018)

Smooth Solution of the Dirichlet Problem for a Quasilinear Hyperbolic Equation of the Second Order
by: Mitropolskiy, Yu. A., et al.
Published: (2000)

On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains
by: Kurta, V. V., et al.
Published: (1993)

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
by: Evtukhov, V. M., et al.
Published: (2010)

Infinitely many fast homoclinic solutions for some second-order nonautonomous systems
by: Yang, Liu, et al.
Published: (2014)

Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems
by: Luo, Liping, et al.
Published: (2014)

Глобальна λ-стійкість одного неавтономного квазілінійного рівняння другого порядку
by: Вітриченко, І.Є.
Published: (2002)

Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order
by: Mitropolskiy, Yu. A., et al.
Published: (1998)

On stability of annth-order equation in a critical case
by: Vitrychenko, I. E., et al.
Published: (1995)

Asymptotic behavior of solutions of nonautonomous nth order ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2016)

Method of additional functions in stability theory for nonautonomous systems of differential equations
by: A. M. Kovalev, et al.
Published: (2014)

Exponential stabilization with practical convergence of nonautonomous infinite-dimensional evolution equations
by: Damak, Hanen, et al.
Published: (2026)

Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge
by: Plesha, M. I., et al.
Published: (2001)

Construction of one-frequency solutions of boundary-value problems for a nonautonomous wave equation
by: Sokil, B. I., et al.
Published: (1994)

Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method
by: Vu, Tuan, et al.
Published: (2004)

Global asymptotic stability of a higher order difference equation
by: Hamza, A.E., et al.
Published: (2007)

Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem
by: Khoma, N. H., et al.
Published: (1998)

On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations
by: Tran Thi Loan, et al.
Published: (2002)

On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations
by: Nguyen, Manh Hung, et al.
Published: (2002)

One system of differential equations in partial derivatives of the second order
by: Tasmambetov , Zh. N., et al.
Published: (1992)

On the functional polystability of certain essentially nonlinear nonautonomous differential systems
by: Vitrychenko, I. E., et al.
Published: (2000)

Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point
by: Borsuk, M. V., et al.
Published: (1998)

Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems
by: Kicha, A., et al.
Published: (2023)