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2017
In this chapter we obtain corresponding results to those in Chapter 3 for continuous time. More precisely, we study in detail the class of Lyapunov exponents defined by the solutions of a nonautonomous linear equation. In particular, we obtain lower and upper bounds for the Grobman coefficient.
Giampiero Esposito
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In this chapter we obtain corresponding results to those in Chapter 3 for continuous time. More precisely, we study in detail the class of Lyapunov exponents defined by the solutions of a nonautonomous linear equation. In particular, we obtain lower and upper bounds for the Grobman coefficient.
Giampiero Esposito
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Solvability of Linear Differential Equations
Дифференциальные уравнения, 2023We propose a new approach to the solvability of ordinary as well as partial differential equations in the theory of linear differential equations and also in the theory of integral equations.
Mokeichev, V. S., Sidorov, A. M.
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2009
Linear differential equations are simpler in many respects. The truth of this statement is already obvious from the fact that their solution spaces possess the structure of a vector space. Thus it is not surprising that some of our previous results may be improved in this special case.
Richard Bronson, Gabriel B. Costa
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Linear differential equations are simpler in many respects. The truth of this statement is already obvious from the fact that their solution spaces possess the structure of a vector space. Thus it is not surprising that some of our previous results may be improved in this special case.
Richard Bronson, Gabriel B. Costa
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Reducibility of Linear Differential Systems to Linear Differential Equations
Moscow University Mathematics Bulletin, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2016
In this chapter we deal with some basic facts concerning ordinary linear differential equations in the analytic domain, culminating in Fuchs’ theory on regular singular points.
Anish Deb +2 more
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In this chapter we deal with some basic facts concerning ordinary linear differential equations in the analytic domain, culminating in Fuchs’ theory on regular singular points.
Anish Deb +2 more
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Quasi-lisse Vertex Algebras and Modular Linear Differential Equations
, 2016We introduce the notion of quasi-lisse vertex algebras, which generalizes admissible affine vertex algebras. We show that the normalized character of an ordinary module over a quasi-lisse vertex operator algebra has a modular invariance property, in the ...
T. Arakawa, Kazuya Kawasetsu
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1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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On Systems of Linear Differential Equations
American Journal of Mathematics, 1951with U a column vector and A and P n-square matrices. The transformation U = TU, by a unimodular matrix T is easily seen to result in an equation in U, of form (1), in which the coefficient of A is T-1AT. It is known [1] that if the elements of A and its characteristic roots are holomorphic in a closed bounded region R, then there exists a matrix T ...
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