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Asymptotic expansions for ordinary differential equations

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TLDR
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 کشاورزی

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Journal ArticleDOI

Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems

TL;DR: In this paper, a singular boundary value problem for a second-order nonlinear ordinary differential equation, arising in hydrodynamics and nonlinear field theory, when centrally symmetric bubble-type solutions are sought is considered.
Book ChapterDOI

An Algorithm to Obtain Formal Solutions of a Linear Homogeneous Differential Equation at an Irregular Singular Point

TL;DR: The algorithm DELIRE (Linear Differential Equation Irregular and REgular singularities) presented in this paper gives the formal solutions at an irregular singular point of a linear homogeneous differential operator, whose coefficients are formal Puiseux series.
Journal ArticleDOI

Slow observables of singularly perturbed differential equations

TL;DR: In this article, singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined, and their limit behaviour is depicted as an invariant measure of the fast component drifted by the slow part of the system.
Journal ArticleDOI

Stability and asymptotic estimates in nonautonomous linear differential systems

TL;DR: In this article, a generalized kinematic similarity transformation is used to diagonalize linear differential systems, and the relation to Lyapunov's classical stability theory is explored, and asymptotic estimates of fundamental solutions are given.