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Displaying 141 – 160 of 202

Reducibility of zero curvature equations.

Flores-Espinoza, Ruben (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Reductibilite d'un systeme differentiel lineaire (Reductibility of a Linear Differential System)

A. Hilali (1983)

Numerische Mathematik

Reduction of differentiable equations with impulse effect.

Sermone, Lelde (1997)

Journal of Applied Mathematics and Stochastic Analysis

Relations de Fuchs pour les systèmes différentiels réguliers

Eduardo Corel (2001)

Bulletin de la Société Mathématique de France

Dans cet article, nous montrons que la notion analytique d’exposants développée par Levelt pour les systèmes différentiels linéaires en une singularité régulière s’interprète algébriquement en termes d’invariants de réseaux, relatifs à un réseau stable maximal que nous appelons « réseau de Levelt ». Nous obtenons en particulier un encadrement pour la somme des exposants des systèmes n’ayant que des singularités régulières sur $ℙ^{1} (ℂ$ ).

Representation of solutions of general linear differential systems of the second order

Ondřej Došlý (1985)

Czechoslovak Mathematical Journal

Second Order Nonlinear Differential Equations Equivalent To Linear Differential Equations

Jovan D. Kečkić, V. LJ. Kocić (1978)

Publications de l'Institut Mathématique

Second order nonlinear differential equations equivalent to linear differential equations.

V.Lj. Kocic, J.D. Keckic (1978)

Publications de l'Institut Mathématique [Elektronische Ressource]

Similarity and rescaling.

Laurent Cairó, Marc R. Feix (1998)

Extracta Mathematicae

Smooth Gevrey normal forms of vector fields near a fixed point

Laurent Stolovitch (2013)

Annales de l’institut Fourier

We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the “small divisors” are invisible either for the smooth linearization or normal form problem. We prove that this is completely different in the smooth Gevrey category. We prove that a germ of smooth $α$ -Gevrey vector field with an hyperbolic linear part admits a smooth $β$ -Gevrey transformation to a smooth $β$ -Gevrey normal form. The Gevrey order $β$ depends on...

Smooth linearization of centres

Massimo Villarini (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Smoothness as an invariant property of coefficients of linear differential equations

František Neuman (1989)

Czechoslovak Mathematical Journal

Solving an inverse Sturm-Liouville problem by a Lie-group method.

Liu, Chein-Shan (2008)

Boundary Value Problems [electronic only]

Some oscillatory properties of the perturbed linear differential equations of order $n$

Jozef Moravčík (1995)

Archivum Mathematicum

In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order $n (\geq 3$ ) for perturbed iterative linear differential equations of the same order.

Some problems concerning the equivalences of two systems of differential equations

Švec, Marko (1986)

Equadiff 6

Some properties of linear homogeneous transformation of independent variable in ordinary differential linear equations

Erich Barvínek (1971)

Aplikace matematiky

Some properties of third order differential operators

Mariella Cecchi, Zuzana Došlá, Mauro Marini (1997)

Czechoslovak Mathematical Journal

Consider the third order differential operator $L$ given by $L (\cdot) \equiv \frac{1}{a_{3} (t)} \frac{d}{d t} \frac{1}{a_{2} (t)} \frac{d}{d t} \frac{1}{a_{1} (t)} \frac{d}{d t} (\cdot)$ and the related linear differential equation $L (x) (t) + x (t) = 0$ . We study the relations between $L$ , its adjoint operator, the canonical representation of $L$ , the operator obtained by a cyclic permutation of coefficients $a_{i}$ , $i = 1, 2, 3$ , in $L$ and the relations between the corresponding equations. We give the commutative diagrams for such equations and show some applications (oscillation, property A).

Special dispersions of the second order linear differential equations of a finite type special and their relation to the Kummer's transformation problem

Eva Tesaříková (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Stationary groups of linear differential equations

František Neuman (1984)

Czechoslovak Mathematical Journal

Sur les blocs des équations différentielles linéaires du deuxième ordre et leurs transformations

Otakar Borůvka (1986)

Časopis pro pěstování matematiky

Sur un théorème de Dulac

Laurent Stolovitch (1994)

Annales de l'institut Fourier

Nous considérons les champs de vecteurs analytiques de $(ℂ^{n}, 0)$ de partie linéaire diagonale non nulle et dont les valeurs propres $λ_{i} \in ℂ$ vérifient des relations de résonances toutes engendrées par une seule relation $(r, λ) = 0$ pour un certain vecteur $r \in ℕ^{n}$ non nul. Nous montrons que, dans un système de coordonnées locales holomorphes au voisinages de $0 \in ℂ^{n}$ , de tels champs de vecteurs se “mettent" sous une forme normale partielle, tout en exhibant des variétés invariantes, si l’on fait une hypothèse de petits diviseurs diophantiens....

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