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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
Download Full-text
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Cited By
References
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
Download Full-text
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
Download Full-text
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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