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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 Article

Complex WKB method for 3-level scattering systems

TL;DR: In this article, the S-matrix naturally associated with a singularly perturbed three-dimensional system of linear differential equations without turning point on the real axis is considered, and it is shown that for a fairly large class of examples, the Complex WKB method gives results far better than what is proven under generic circumstances.
Journal Article

Borel Summability of Divergent Solutions for Singular First Order Linear Partial Differential Equations with Polynomial Coefficients

TL;DR: In this paper, the authors studied the Borel summability of divergent power series solutions for singular first order linear partial differential equations of nilpotent type and gave conditions under which formal solutions are Borel-sumable.
Journal ArticleDOI

The Slow Invariant Manifold of the Lorenz–Krishnamurthy Model

TL;DR: In this paper, it was shown that one can construct a slow invariant manifold of the generalized Lorenz-Krishnamurthy model using the Flow Curvature Method.
Journal ArticleDOI

Asymptotic solutions of the viscous solar wind equations

TL;DR: There is one and only solution of the viscous solar wind equations which is asymptotically represented for large distances from the sun by a formal solution of Y.C. Whang, C. K. Liu, and C. C. Chang as discussed by the authors.
Proceedings ArticleDOI

Power series solutions of singular (q)-differential equations

TL;DR: This work provides algorithms computing power series solutions of a large class of differential or q-differential equations or systems, whose number of arithmetic operations grows linearly with the precision, up to logarithmic terms.