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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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A Systematic and Efficient Method to Compute Multi-loop Master Integrals

TL;DR: In this paper, the authors propose a method to compute multi-loop master integrals by constructing and numerically solving a system of ordinary differential equations, with almost trivial boundary conditions, which can be systematically applied to problems with arbitrary kinematic configurations.
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Extended Energy Management Methods for Flight Performance Optimization

TL;DR: It is shown that nonlinear feedback solutions can be obtained, even for EM problem formulations which currently result in a two-point boundary-value problem, and a nonlinear controller for two-dimensional, minimum time aircraft climbs is derived.
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Singularly perturbed ordinary differential equations with dynamic limits

TL;DR: In this article, the qualitative limit behavior of the trajectories as the small parameter tends to zero is studied and invariant measures of the parametrised fast flow are employed to describe the limit behaviour, rather than algebraic equations which are used in the standard reduced order approach.
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Complexity of factoring and calculating the GCD of linear ordinary differential operators

TL;DR: In this paper, a polynomial time algorithm for computing the greatest common divisor of a family of linear differential operators with rational coefficients was presented, and a bound on the bit size of a linear differential operator was obtained.
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Phase waves in oscillatory chemical reactions

TL;DR: In this article, a theory for the effect of heterogeneity on an oscillatory chemically reactive system in a stable limit cycle is presented, and a perturbation technique free of secular behavior is developed for the solution of the nonlinear partial differential equations.