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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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Classification of resonant equations
TL;DR: In this paper, it was shown that the correspondence between equivalence classes of resonant equations and triples of Gevrey series is essentially bijective, and that each equivalence class contains an equation of a particular form: f ( x, e ) = f 0 ( x ) and g ( x, e) = f 1 (x ) + e f 2 (x) with f 1( 0 ) = 0.
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A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions
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Working with multiscale asymptotics
TL;DR: In this article, the authors compare and update techniques to obtain the asymptotic solution of the weakly nonlinear oscillator equation y + y + e f(y, \dot{y}) =0 as e → 0 and for corresponding first-order vector systems.
Journal ArticleDOI
Asymptotic formulas for solutions of a singular linear ordinary differential equation
TL;DR: In this paper, asymptotic expansions for first-order linear systems of ordinary differential equations are obtained for the solutions of an nth order linear homogeneous ordinary differential equation with complex coefficients having asymptic expansions in a sector of the complex plane.
Dissertation
Modèles mathématiques pour la compétition et la coexistence des espèces microbiennes dans un chémostat
TL;DR: L'etude mathematique du comportement qualitatif de differents modeles du chemostat, nous a permis de mieux comprendre the competition and the coexistence des especes microbiennes.