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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Complete System of Analytic Invariants for Unfolded Differential Linear Systems with an Irregular Singularity of Poincaré Rank 1
TL;DR: In this paper, a complete system of analytic invariants for the unfoldings of nonresonant linear differential systems with an irregular singularity of Poincare rank 1 at the origin over a fixed neighborhood is given.
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Explicit formula for the generating series of diagonal 3D rook paths
TL;DR: The computer-driven discovery and proof of the fact that the generating series G(x) =sum n \geq 0 a_n x^n admits the following explicit expression in terms of a Gaussian hypergeometric function is described.
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Slow invariant manifolds as curvature of the flow of dynamical systems
TL;DR: It will be stated that the flow curvature method, which uses neither eigenvectors nor asymptotic expansions but only involves time derivatives of the velocity vector field, constitutes a general method simplifying and improving the slow invariant manifold analytical equation determination of high-dimensional dynamical systems.
Proceedings ArticleDOI
On the equivalence problem of linear differential systems and its application for factoring completely reducible systems
TL;DR: Given two linear di erential systems with rational function coe cients, an algorithm is given to decide whether these two systems are equivalent and to compute the corresponding transformation matrices and the algorithms are implemented and available.
Journal ArticleDOI
Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill
TL;DR: In this paper, a majoration asymptotique for polynomes trigonometriques is presented, sous la forme du module d'une somme finie de termes exponentiellement petits.