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Linear systems of ordinary differential equations (Q1232018)

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scientific article; zbMATH DE number 3533337

Language	Label	Description	Also known as
English	Linear systems of ordinary differential equations	scientific article; zbMATH DE number 3533337

Statements

scholarly article

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Linear systems of ordinary differential equations (English)

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Nikolaĭ Alekseevich Izobov

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Journal of Soviet Mathematics

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publication date

1976

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MaRDI profile type

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DETERMINATION OF STABILITY BY LINEAR APPROXIMATION OF A PERIODIC SOLUTION OF A SYSTEM OF DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES

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On new stability inequalities

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On the structure of solutions of a system of linear differential equations with almost periodic coefficients

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On the reduction of a system of linear equations to diagonal form

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Almost reducible systems

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On the stability of the solutions of a system of two first-order linear differential equations with periodic coefficients for the resonance case

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On the stability of the solutions of a system of homogeneous linear differential equations with periodic (and other) coefficients

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On a sufficient condition for the stability of the trivial solution of a system of two linear differential equations

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On the normalization of a Hamiltonian system of linear differential equations with periodic coefficients

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Instability of the characteristic indices of statistically regular systems

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Two theorems concerning variational systems of smooth dynamical systems

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Finding the characteristic exponents of systems of linear differential equations with periodic coefficients

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The small parameter method for canonical systems with periodic coefficients

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Forced periodic solutions of systems of differential equations

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On stability and asymptotic equilibrium

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On asymptotically periodic linear systems

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Boundedness of solutions of linear differential systems with periodic coefficients

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Analysis and synthesis of stability matrices

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A Prufer Transformation for Matrix Differential Equations

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On a generalization of a result of Wintner

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On the asymptotic behavior of solutions of nonlinear differential equations

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On Exponential Stability of Linear Differential Systems

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Linear second-order differential equations of positive type

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Third order positive cyclic systems of linear differential equations

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Stability of a pair of first order linear differential equations

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Nonlinear Differential Equations with Forcing Terms

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On the asymptotic relationships between solutions of two systems of ordinary differential equations

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Asymptotic Equilibria in Homogeneous and Nonhomogeneous Systems

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Linear Differential Equations with Periodic Coefficients

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Reduction of systems of linear differential equations to Jordan normal form

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Linear and Riccati systems

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Asymptotic stability without uniform stability: Almost periodic coefficients

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Sulla ``equivalenza asintotica'' dei sistemi di equazioni differenziali ordinarie

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Comparison theorems for canonical systems of differential equations

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Dichotomies and reducibility

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Dichotomies and reducibility. II

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On the stability of linear canonical systems with periodic coefficients

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Dynamical instability of linear canonical systems

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High-order eigenproblem sensitivity methods: theory and application to the design of linear dynamical systems†

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Characteristic numbers of continuous matrices

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

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An Asymptotic Theorem for Systems of Linear Differential Equations

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A Note on Linear Ordinary Differential Equations

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Fehlerabschätzung bei näherungsweiser Lösung von Systemen von Differentialgleichungen erster Ordnung

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Periodic Solutions of Systems of Differential Equations

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Conditions for a Matrix to Commute with its Integral

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On systems of linear differential equations with periodic coefficients: Algebraic and topological aspects

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Exponential Solutions of Linear Systems of Differential Equations whose Coefficient Matrix is Skew Symmetric

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Sur certains systèmes différentiels scalaires linéaires et homogenes à coefficients presque-périodiques

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Almost Periodicity of the Inverse of a Fundamental Matrix

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Generalized series solution of an almost periodic differential equation

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Conditions for a matrix to have only characteristic roots with negative real parts

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Sur les systèmes différentiels \(\Sigma\), à points critiques fixes, associés au problème de Riemann pour les systèmes linéaires d'ordre \(\geq 2\)

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Convergent integrals of solutions to a linear differential system

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Expansion and boundedness theorems for solutions of linear differential systems with periodic or almost periodic coefficients

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Bemerkungen zu einer Arbeit von Herrn Vejvoda über Stabilitätsfragen

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A shoort of a boundedness theorem for linear differential systems with periodic coefficients

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Conditions for the stability of nonautonomous differential equations

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On the asymptotic growth of the solutions of a system of nonhomogeneous linear differential equations

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An Asymptotic Expansion for a Nonhomogeneous Linear System

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On asymptotic equivalence of the bounded solutions of two systems of differential equations

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Holomorphic solutions of linear differential systems at singular points

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Asymptotic Integrations of Linear Differential Equations

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On Linear and Nonlinear Perturbations of Linear Systems of Ordinary Differential Equations With Constant Coefficients

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The nonsingular embedding of transition processes within a more general framework of coupled variables

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Ein Verfahren zur Bildung von Matrizanten

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Über die Wachstumsordnung eines linearen Systems von Differentialgleichungen mit ganzen Funktionen als Koeffizienten

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Pathology of infinite systems of linear first order differential equations with constant coefficients

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Holomorphicity of perturbed linear canonical systems with periodic coefficients

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Asymptotic integration of a nonhomogeneous singular linear system of ordinary differential equations

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Asymptotic behavior of the ratio between the components of solutions of a linear system of ordinary differential equation and its applications to the determination of Lyapunov characteristic numbers

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On the Order of Solutions of Analytic Linear Differential Equations

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Stability of Solutions of Linear Systems with Dominant Main Diagonal

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Exponential-Like Solutions of Systems of Linear Ordinary Differential Equations

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Invariance for linear systems of ordinary differential equations

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Über die an schwach singulären Stellen holomorphen Lösungen linearer Differentialgleichungssysteme

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On the characteristic exponents of the solutions of a system of ordinary differential equations

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On the asymptotic behaviour of the solutions of a system of ordinary differential equations

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Zusammenhänge zwischen konvergenten und asymptotischen Entwicklungen bei Lösungen linearer Differentialsysteme vom Range Eins

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On linear matrix differential equations

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A two points connection problem involving logarithmic polynomials

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On Bounded Matrices and Kinematic Similarity

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Characteristic exponents and diagonally dominant linear differential systems

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The stability of linear, real, periodic self-adjoint systems of differential equations

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Linear Differential Equations with Almost Periodic Coefficients

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Continuous matrices and the stability theory of differential systems

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Perturbations of nonlinear systems

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A NOTE ON THE CONTINUITY OF CHARACTERISTIC EXPONENTS

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Approximate Similarity and Almost Perodic Matrices

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Stability of linear periodic systems

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On the Asymptotic Behavior of Linear Systems

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Some Growth Theorems for Linear Ordinary Differential Equations

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On system of linear differential equations having regular singular solutions

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Asymptotic Behavior of Solutions of Linear Systems of Ordinary Differential Equations Near an Irregular Singular Point

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On the reduction of rank of linear differential systems

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The asymptotic behaviour of solutions to linear systems of ordinary differential equations

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On the exponential solution of differential equations for a linear operator

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Some Results On The Asymptotic Behavior Of Linear Systems

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Continuous matrices and the stability of differential systems

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Two Theorems in Stability Theory

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Conditional stability and separation of solutions to differential equations

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A Note on my Paper on a Result of G. D. Birkhoff on Linear Differential Systems

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Contributions to stability theory

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Linear differential systems with periodic coefficients involving a large parameter

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The order of a singularity in Fuchs' theory

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Linear Systems of Differential Equations with Periodic Solutions

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Nonoscillation and disconjugacy of systems of linear differential equations

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A global representation of a fundamental set of solutions and a Stokes phenomenon for a system of linear ordinary differential equations

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A connection problem involving a logarithmic function

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Applications of the topological method of Wazewski to certain problems of asymptotic behavior in ordinary differential equations

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Relationships among the solutions of two systems of ordinary differential equations

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On the uniform stability of a perturbed linear system

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Nonlinear perturbation of a linear system of ordinary differential equations

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Asymptotic relationships at infintiy between the solutions of two systems of ordinary differential equations

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A Note on Asymptotic Stability

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The companion matrix and Liapunov function for linear multivariable timeinvariant systems

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Asymptotic formulas for the solutions of a system of linear differential equations $y' = [A+B(x)]y$

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Remarks on a Matrix Transformation for Linear Differential Equations

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A matrix Liapunov inequality

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Classification and description of the singular points of a system of three linear differential equations

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Sur la stabilité de la solution \(x = 0\) du système différentiel \(dx/dt = A(t)x+f(x,t)\)

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A Lyapunov function for some naturally-occurring linear homogeneous time-dependent equations

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Saddle-Point Type Behavior for Nonautonomous Second Order Linear Systems of Ordinary Differential Equations

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Totally positive differential systems

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Mappings of domains by components of solutions of differential systems

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Stability problems for systems of linear differential equations

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Note on real matrices and linear dynamical systems with periodic coefficients

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A Block-Diagonalization Theorem for Systems of Linear Ordinary Differential Equations and its Applications

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Instability of slowly varying systems

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Concerning Liapunov functions for linear systems— I†

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On Linear Ordinary Differential Equations with Periodic Coefficients

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Perturbing Uniformly Stable Linear Systems with and without Attraction

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Linear Perturbations of Ordinary Differential Equations

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Über eine erweiterte asymptotische Darstellung der Lösung eines Systems von linearen homogenen Differentialgleichungen, welche von zwei Parametern abhängen

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Eine erweiterte asymptotische Darstellung der Lösung eines Systems von homogenen linearen Differentialgleichungen, welche von zwei Parametern abhängen

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Über gewisse lineare Differentialgleichungssysteme mit periodischen Koeffizienten

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Über gewisse lineare Differentialgleichungssysteme mit periodischen Koeffizienten. II. Herrn JOHANNES PICHT zum 65. Geburtstag am 25. 1. 1962 gewidmet

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Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point

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Stability via the theorem of Gershgorin

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A Note on the Relation Between Periodic and Orthogonal Fundamental Solutions of Linear Systems

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On certain properties of a system of linear differential equations

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Turning point problems for systems of linear differential equations. Part II: The analytic theory

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On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials

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Über den Zusammenhang zwischen Systemen linearer Differentialgleichungen und Volterrascher Integralgleichungen mit ausgeartetem Kern

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Asymptotic Integration Constants

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Bounded Matrices and Linear Differential Equations

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On linear perturbations

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Remarks on Global Asymptotic Stability of Certain Quasi-Linear Differential Equations

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Remarks on the asymptotic behaviour of perturbed linear systems

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Identifiers

zbMATH Open document ID

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10.1007/BF01091661

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1232018

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