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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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DissertationDOI

Mathematical Modeling of Stem Cell Dynamics in Acute Leukemias

TL;DR: A model-based prognostic marker for survival of relapsing acute myeloid leukemia patients is developed and tested based on clinical data and it is rigorously shown that solutions depending on the quasi-steady state approximation are close to solutions of a singular perturbation problem including dynamics of the signal molecules as a separate ordinary differential equation that is scaled with a small parameter.
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Isomonodromic Deformations and Painlevé Equations

TL;DR: The connection between isomonodromic deformation of the Fuchsian system of linear differential equations and the Painleve VI equation is considered in this paper, where it is shown that the space of all Fuchsians can be rationally projected on the symplectic space in such a way that the preimage of any point consists of the systems with the same monodromy.
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Fast computation of common left multiples of linear ordinary differential operators

TL;DR: A new algorithm is proposed that recasts the LCLM computation in a linear algebra problem on a polynomial matrix that yields sharp bounds on the coefficient degrees of the L CLM, improving by one order of magnitude the best bounds obtained using previous algorithms.
Proceedings ArticleDOI

On-Board Near-Optimal Climb-Dash Energy Management

TL;DR: In this paper, the authors study the optimal and near-optimal trajectories of high-performance fighter aircraft in synuetric flight using the boundary-layer structure and hierarchical ideas from singular perturbations.
Journal ArticleDOI

On the Borel summability of WKB solutions of certain Schrödinger-type differential equations

TL;DR: It is proved that the WKB solutions can be expressed using factorial series in the parameter, and that these expansions converge in half-planes, uniformly with respect to the independent variable.