Lyapunov functions and bounded solutions of linear systems of differential equations

Yu. A. Mitropol'skii; V. L. Kulik

doi:10.1007/bf01056754

Lyapunov functions and bounded solutions of linear systems of differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01056754 ◽

1986 ◽

Vol 38 (1) ◽

pp. 31-40

Author(s):

Yu. A. Mitropol'skii ◽

V. L. Kulik

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Lyapunov Functions ◽

Bounded Solutions ◽

Systems Of Differential Equations

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The question of the existence of Lyapunov functions with alternating signs for linear systems of differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01062631 ◽

1992 ◽

Vol 44 (1) ◽

pp. 90-95 ◽

Cited By ~ 1

Author(s):

A. M. Samoilenko ◽

V. L. Kulik

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Lyapunov Functions ◽

Systems Of Differential Equations

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Exponentially Dichotomous Linear Systems of Differential Equations and Lyapunov Functions of Variable Sign

Dichotomies and Stability in Nonautonomous Linear Systems ◽

10.1201/9781482264890-8 ◽

2002 ◽

pp. 21-112

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Lyapunov Functions ◽

Variable Sign ◽

Systems Of Differential Equations

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A result concerning bounded solutions of linear systems of differential equations

Acta Mathematica Hungarica ◽

10.1007/bf01874660 ◽

1993 ◽

Vol 62 (3-4) ◽

pp. 403-409 ◽

Cited By ~ 1

Author(s):

R. Naulin

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Bounded Solutions ◽

Systems Of Differential Equations

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On the asymptotic properties of solutions of perturbed linear systems of differential equations

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf02413601 ◽

1972 ◽

Vol 94 (1) ◽

pp. 41-62 ◽

Cited By ~ 1

Author(s):

T. A. Chanturia

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Asymptotic Properties ◽

Systems Of Differential Equations ◽

Perturbed Linear Systems

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Exponentially Dichotomous Linear Systems of Differential Equations with Piecewise Constant Argument

Nonlinear Systems and Complexity - Almost Periodicity, Chaos, and Asymptotic Equivalence ◽

10.1007/978-3-030-20572-0_6 ◽

2019 ◽

pp. 123-141

Author(s):

Marat Akhmet

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Piecewise Constant ◽

Piecewise Constant Argument ◽

Systems Of Differential Equations ◽

Constant Argument

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Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations

Mathematical Notes ◽

10.1134/s0001434618070088 ◽

2018 ◽

Vol 104 (1-2) ◽

pp. 63-73 ◽

Cited By ~ 2

Author(s):

K. S. Lapin

Keyword(s):

Differential Equations ◽

Lyapunov Functions ◽

Boundedness Of Solutions ◽

Systems Of Differential Equations ◽

Vector Lyapunov Functions

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On Stability of Non-Linear Systems of Differential Equations

Selected Papers of Norman Levinson Volume 1 ◽

10.1007/978-1-4612-5341-9_6 ◽

1998 ◽

pp. 51-57

Author(s):

Norman Levinson

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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Singular Perturbations of Non-linear Systems of Differential Equations and an Associated Boundary Layer Equation

Selected Papers of Norman Levinson ◽

10.1007/978-1-4612-5332-7_32 ◽

1998 ◽

pp. 333-356

Author(s):

J. J. Levin ◽

Norman Levinson

Keyword(s):

Boundary Layer ◽

Differential Equations ◽

Linear Systems ◽

Singular Perturbations ◽

Boundary Layer Equation ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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Asymptotic Decomposition of Almost Linear Systems of Differential Equations with Constant Coefficients and Perturbations in the Form of Polynomials

Nonlinear Mechanics, Groups and Symmetry ◽

10.1007/978-94-015-8535-4_5 ◽

1995 ◽

pp. 159-218

Author(s):

Yu. A. Mitropolsky ◽

A. K. Lopatin

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Asymptotic Decomposition ◽

Systems Of Differential Equations ◽

Constant Coefficients

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The asymptotic nature of the solutions of certain linear systems of differential equations

Pacific Journal of Mathematics ◽

10.2140/pjm.1965.15.75 ◽

1965 ◽

Vol 15 (1) ◽

pp. 75-83 ◽

Cited By ~ 3

Author(s):

Allen Devinatz

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Asymptotic Nature ◽

Systems Of Differential Equations

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