Method of constructing Lyapunov's function for weakly nonautonomous linear systems of differential equations

O. B. Lykova; B. M. Bogatyrev

doi:10.1007/bf01090534

Method of constructing Lyapunov's function for weakly nonautonomous linear systems of differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01090534 ◽

1972 ◽

Vol 24 (5) ◽

pp. 510-516 ◽

Cited By ~ 2

Author(s):

O. B. Lykova ◽

B. M. Bogatyrev

Keyword(s):

Differential Equations ◽

Linear Systems ◽

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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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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Uniform stability of perturbed non-linear systems of differential equations with time delay

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584673 ◽

1982 ◽

Vol 13 (2) ◽

pp. 23-34 ◽

Cited By ~ 1

Author(s):

Decio Botura Filho ◽

Natalino Adelmo Molfetta

Keyword(s):

Time Delay ◽

Differential Equations ◽

Linear Systems ◽

Uniform Stability ◽

Systems Of Differential Equations ◽

Non Linear ◽

Non Linear Systems

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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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Optimal pulse stabilization of autonomous linear systems of differential equations with aftereffect

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) ◽

10.1109/stab49150.2020.9140479 ◽

2020 ◽

Author(s):

Yurii Dolgii ◽

Alexander Sesekin

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Systems Of Differential Equations

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Stability of linear systems of differential equations with variable structure and impulse effect

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670110207 ◽

1989 ◽

Vol 11 (2) ◽

pp. 271-278

Author(s):

N. V. Milev ◽

D. D. Bainov ◽

G. F. Roach

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Variable Structure ◽

Impulse Effect ◽

Systems Of Differential Equations

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