Cover Image

Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method

The Lyapunov second method is an important tool in the qualitative theory of ordinary differential equations. In this paper, we consider the behavior of solutions of quasilinear index-2 tractable differential algebraic equations. Using the Lyapunov second method, we prove sufficient conditions for t...

Full description

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Vu, Tuan, Pham, Van Viet, Ву, Туан, Фам, Ван В'єт
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3845
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 the Asymptotic Behavior of Solutions of Differential Systems
by: Pham, Van Viet, et al.
Published: (2005)

On the Asymptotic Behavior of Solutions of Differential Systems
by: Pham Van Viet, et al.
Published: (2005)

Algebraic dependences of meromorphic mappings in several complex variables
by: Pham, Duc Thoan, et al.
Published: (2010)

Some Results on Asymptotic Stability of Order α
by: Vu, Thi Thu Huong, et al.
Published: (2005)

On the degree of holomorphic mappings from an annulus into an annulus
by: Nguyen, Doan Tuan, et al.
Published: (2004)

Lyapunov-Type Inequalities for Quasilinear Systems with Antiperiodic Boundary Conditions
by: Bai, Yongzhen, et al.
Published: (2013)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov’s second method
by: Vasilina, G. K., et al.
Published: (2016)

On the estimation of the Lyapunov function in solutions of a quasilinear fractional system
by: A. A. Martyniuk
Published: (2020)

Lyapunov-type inequalities for quasilinear systems with antiperiodic boundary conditions
by: Youyu Wang, et al.
Published: (2013)

Learning Maximal Margin Markov Networks via Tractable Convex Optimization
by: V. Franc, et al.
Published: (2011)

Algebraic dependences of meromorphic mappings in several complex variables
by: Duc Thoan Pham, et al.
Published: (2010)

Global λ-Stability of One Nonautonomous Quasilinear Second-Order Equation
by: Vitrychenko, I. E., et al.
Published: (2002)

On the existence of Lyapunov functions in problems of stability of integral sets
by: Ignat'ev, A. O., et al.
Published: (1993)

Some Results on Asymptotic Stability of Order α
by: Vu Thi Thu Huong, et al.
Published: (2005)

Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces
by: Dang, Dinh Chau, et al.
Published: (2005)

On the solution of the problem of stochastic stability of the integral manifold by the Lyapunov&#039;s second method
by: G. K. Vasilina, et al.
Published: (2016)

The second Lyapunov method for the investigation of stability of differential equations with Pulse perturbations and Markov coefficients
by: Sverdan, M. L., et al.
Published: (1996)

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

The application of the intersect index to quasilinear eigenfunction problems
by: Dymarsky, Ya.M.
Published: (1999)

Application of the second Lyapunov method for getting the conditions of stability in systems with quadratic right-hand side
by: Khusainov, D., et al.
Published: (2024)

On the degree of holomorphic mappings from an annulus into an annulus
by: Nguyen Doan Tuan, et al.
Published: (2004)

On the mappings preserving the Lyapunov stability of Takagi–Sugeno fuzzy systems
by: Denisenko, V. S., et al.
Published: (2009)

On one atypical scheme of application of the second Lyapunov method
by: Sosnitskii, S. P., et al.
Published: (2009)

Lyapunov transformation and stability of differential equations in banach spaces
by: Tran, Thi Loan, et al.
Published: (1999)

Lyapunov transformation and stability of differential equations in Banach spaces
by: Tran Thi Loan
Published: (1999)

On the stability of solutions of a quasilinear uncertain system
by: Martynyuk-Chernienko, Yu. A., et al.
Published: (1999)

Stability of fixed points for a class of quasilinear cascades in the space conv $R^n$
by: Atamas', I. V., et al.
Published: (2017)

On Stability in Models of Mathematical Epidemiology Based on Lyapunov-Volterra Function
by: O. M. Kuchvara
Published: (2014)

On oscillation of solutions of a nonautonomous quasilinear second-order equation
by: Vitrychenko, I. E., 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)

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

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)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Zh. F. San, et al.
Published: (2013)

Lyapunov indices and the Poincarй mapping in a study of the stability of the Krebs cycle
by: V. I. Grytsay
Published: (2015)

Lyapunov indices and the Poincarй mapping in a study of the stability of the Krebs cycle
by: V. I. Grytsay
Published: (2015)

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function
by: Sun, J.F., et al.
Published: (2013)

One criterion of unitarity of bilateral integral transformation
by: Vu Kim Tuan, et al.
Published: (1992)

Stabilization of solutions to the initial boundary–value problems for quasilinear parabolic equations
by: Tedeev, A. F., et al.
Published: (1992)

On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima
by: Bantsur, N. R., et al.
Published: (1998)