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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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Exact solution of the Schrödinger equation with a Lennard–Jones potential

TL;DR: In this paper, the Schrodinger equation with a Lennard-Jones potential is solved by using a procedure that treats in a rigorous way the irregular singularities at the origin and at infinity.
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Initial value problem for cohomogeneity one gradient Ricci solitons

TL;DR: In this paper, the authors studied the gradient Ricci soliton equation Hess ( u ) + Ric ( g ) + ϵ 2 g = 0 around Q and showed that there always exists a solution on a tubular neighbourhood of Q for any prescribed G -invariant metric g Q and shape operator L Q, provided that the following technical assumption is satisfied: if P = G / K is the principal orbit for this action, the K -representations on the normal and tangent spaces to Q have no common sub-representations.
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Boundary-layer approximation to powered-flight attitude transients

TL;DR: In this paper, a model including rigid body degrees of freedom in boundary layer approximation to attitude transients is proposed for a rocket vehicle flight optimization for model including a rigid body degree of freedom.
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Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions

TL;DR: In this article, it was shown that under mild nondegeneracy assumptions for all sufficiently large positive integers, there exists a class of algebraic functions possessing a branch near the Cauchy transform of a compactly supported probability measure.
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On asymptotic equivalence of perturbed linear systems of differential and difference equations

TL;DR: In this article, the authors studied perturbations with a triangularly-induced structure and showed that growth conditions can be substantially weakened, and also gave results for not necessarily triangular perturbation which in some sense interpolate between the classical theorems of Levinson and Hartman-Wintner.