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Asymptotic expansions for ordinary differential equations
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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 کشاورزیread more
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Singular cauchy problems for a class of weakly hyperbolic differential operators
TL;DR: In this article, singular Cauchy problems of Hamada's type are studied in the category of holomorphic functions and hyperfunctions for a class of hyperbolic differential operators with non-involutive multiple characteristics.
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Two Lax systems for the Painlevé II Equation, and Two Related Kernels in Random Matrix Theory
Karl Liechty,Dong Wang +1 more
TL;DR: In this article, the authors consider two Lax systems for the homogeneous Painleve II equation: one of size 2/2/2 and another of size 4/4/4, and derive the Stokes multipliers for the two systems via an integral transform.
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TL;DR: A practically useful strategy for accurately initializing short bursts of microscopic runs for the evolution of slow variables is integral to the scheme, without the requirement that the slow variables determine a unique invariant measure of the microscopic dynamics.
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Dissertation
Perturbations singulières : approximations, stabilité pratique et applications à des modèles de compétition
TL;DR: In this paper, the authors investigate the theory of Tikhonov et al. for the case of the dynamique rapide oscillante and show that it converges to a compact positive invariant invariance invariant.