Cover Image

On one variational criterion of stability of pseudoequilibrium forms

We establish a variational criterion of stability for the problem of the vibrocapillary equilibrium state which appears in the theory of interaction of limited volumes of liquid with vibrational fields.

Saved in:

Bibliographic Details
Date:	1996
Main Authors:	Lukovsky, I. O., Mykhailyuk, O. V., Timokha, A. N., Луковський, І. О., Михайлюк, О. В., Тимоха, О. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5203
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 variational statement of one boundary-value problem with free interface
by: Timokha, A., et al.
Published: (2023)

A note on variational formalism for sloshing with rotational flows in a rigid tank with an unprescribed motion
by: Lukovsky, I. A., et al.
Published: (2026)

Variational method for the solution of nonlinear boundary-value problems of the dynamics of bounded volumes of liquid with variable boundaries
by: Lukovsky, I. O., et al.
Published: (2018)

Differential and variational formalism for an acoustically levitating drop
by: M. O. Chernova, et al.
Published: (2015)

A note on variational formalism for sloshing with rotational flows in a rigid tank with an unprescribed motion
by: I. A. Lukovsky, et al.
Published: (2021)

Variational formulations of nonlinear boundary-value problems with a free boundary in the theory of interaction of surface waves with acoustic fields
by: Lukovsky, I. O., et al.
Published: (1993)

On one criterion for analyticity of functions
by: Trohimchuk, Yu. Yu, et al.
Published: (2007)

On one convergence criterion of branched continued fractions of the special form with real elements
by: T. M. Antonova, et al.
Published: (2016)

Sound effect on dynamics and stability of fluid sloshing in zero-gravity
by: Lukovsky, I.A., et al.
Published: (1999)

One version of the Linearized theory of nonstationary boundary-value problems with free boundary
by: Lukovsky, I. O., et al.
Published: (1996)

Quadrant-criterion of stability of dynamic systems
by: V. P. Dolgin, et al.
Published: (2014)

On one criterion of constancy of a complex function
by: Safonov, V. M., et al.
Published: (1999)

One-Point Discontinuities of Separately Continuous Functions on the Product of Two Compact Spaces
by: Mykhailyuk, V. V., et al.
Published: (2005)

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

On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators
by: Gorbachuk, V. I., et al.
Published: (2000)

Про одну варіаційну ознаку стійкості псевдорівноважних форм
by: Луковський, І.О., et al.
Published: (1996)

The Bateman-type variational formalism for an acoustically-driven drop
by: Timokha, A.N.
Published: (2023)

The evaluation of operational degradation of gas pipeline steels by the mechanical stability criterion
by: Yu. Ya. Mieshkov, et al.
Published: (2014)

Stability kernel of vector optimization problems under perturbations of criterion functions
by: T. T. Lebiedieva, et al.
Published: (2021)

Criterion of stable convexity of a region in one-sheeted conformal mappings. I
by: Cherneі, N. I., et al.
Published: (1966)

The Bateman–Luke variational formalism in a sloshing with rotational flows
by: A. N. Timokha
Published: (2016)

The Bateman–Luke variational formalism in a sloshing with rotational flows
by: Timokha, A.N.
Published: (2016)

Criterion of Stability of Autonomic Linear Systems with Delay and Periodic Impulsive Action
by: I. L. Ivanov, et al.
Published: (2013)

Th e Bateman-type variational formalism for an acoustically-driven drop
by: A. N. Timokha
Published: (2023)

Review of researches on mathematical problems of mechanics and control theory at Institute of Mathematics NAS of Ukraine
by: Lukovsky, I. A., et al.
Published: (2026)

Magnetite and maghemite nanocrystals: variation of synthesis and stabilization conditions
by: Korovyanko, O., et al.
Published: (2009)

The Bateman–Luke variational formalism for sloshing of an ideal incompressible liquid with rotational flows
by: A. N. Timokha
Published: (2015)

On transition criterion from flat crystallization front in binary melt to cellular one
by: Kanischev, V.N.
Published: (2004)

Differential and variational formalism for an acoustically levitating drop
by: Chernova, M.O., et al.
Published: (2015)

On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane
by: Brodovich, M. T., et al.
Published: (2003)

Multi-objective optimization problem: stability with respect to initial data perturbations in vector criterion
by: T. T. Lebedeva, et al.
Published: (2020)

Stability kernel of multicriteria optimization problem under perturbations of input data of vector criterion
by: T. T. Lebedeva, et al.
Published: (2021)

A stability criterion for periodic solutions of two-dimensional discontinuous dynamical systems
by: Urmanchev, V. I., et al.
Published: (1999)

Stability by the vector criterion of a mixed integer optimization problem with quadratic criterial fun ctions
by: T. T. Lebiedieva, et al.
Published: (2020)

The criterion of absolute stability of the solutions for stochastic dynamic diffuse automatic control systems with external disturbances
by: A. M. Kalyniuk, et al.
Published: (2015)

On a class of boundary value problems in the theory of surface waves
by: Lukovsky , I. A., et al.
Published: (1991)

On the spectral criterion of stability in the problem of small motions of an ideal capillary fluid with disconnected free surface
by: N. D. Kopachevskij, et al.
Published: (2014)

On the stability of a trivial invariant torus of one class of impulsive systems
by: Dudzyanyi, S. I., et al.
Published: (1998)

Algebraic criterion of absolute (by nonlinearity) stability of stochastic systems of automatic control with a nonlinear feedback
by: Korenevsky , D. G., et al.
Published: (1988)

On estimates of minima of criterion functions in optimization on combinations
by: Emets, O. A., et al.
Published: (1999)