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(1956)
Sobranie sochinenii (Collection of Papers)
(1966)
Translated under the title Lineinye differentsial'nye uravneniya i funktsional'nye prostranstva
(1993)
Existence Criterion of a Solution with Small Growth for Linear Inhomogeneous System
(1970)
Ustoichivost’ reshenii differentsial’nykh uravnenii v banakhovom prostranstve (Stability of Solutions of Differential Equations in Banach Space)
A. Wintner (1949)
On the Smallness of Isolated EigenfunctionsAmerican Journal of Mathematics, 71
(1954)
On the Stability of Solutions of Systems of Differential Equations
(1995)
Unsolved Problem on Classes of Linear Systems
NA Izobov (2006)
Vvedenie v teoriyu pokazatelei Lyapunova
AS Fursov (1995)
A Criterion for the Existence of a Solution with Small Growth of a Linear Inhomogeneous SystemDiffer. Uravn., 31
R. Vinograd (1983)
SIMULTANEOUS ATTAINABILITY OF CENTRAL LYAPUNOV AND BOHL EXPONENTS FOR ODE LINEAR SYSTEMS, 88
YuL Daletskii, MG Krein (1970)
Ustoichivost’ reshenii differentsial’nykh uravnenii v banakhovom prostranstve
(2006)
Vvedenie v teoriyu pokazatelei Lyapunova (Introduction to the Theory of Lyapunov Exponents)
AM Lyapunov (1956)
Sobranie sochinenii
(2013)
On the Computation of Small-Growth Exponents of Linear Differential Systems, Differ
BF Bylov, RE Vinograd, DM Grobman, VV Nemytskii (1966)
Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti
O. Perron (1930)
Die Stabilitätsfrage bei DifferentialgleichungenMathematische Zeitschrift, 32
J. Massera, J. Schaffer (1966)
Linear differential equations and function spaces
(1977)
The Existence of a Solution with Small Growth for Biregular Differential Systems with Random Perturbation
(1966)
Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti (Theory of Lyapunov Exponents and Its Application to Problems of Stability)
(1992)
Two Problems on Lyapunov Exponents of Inhomogeneous Linear Systems
We obtain formulas for the computation of a certain asymptotic characteristic of piecewise continuous functions defined on the half-line and use it to state the well-known necessary and sufficient condition on a linear homogeneous differential system for the corresponding inhomogeneous system with arbitrary inhomogeneity whose characteristic exponent is nonpositive to have a solution with nonpositive characteristic exponent. We give a new form of this necessary and sufficient condition similar to the Perron-Maizel condition for the exponential dichotomy of the system.
Differential Equations – Springer Journals
Published: Sep 12, 2014
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