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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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A first‐motion alternative to Geometrical Ray Theory
TL;DR: In this paper, an alternative to geometrical ray theory is obtained, based on the first-motion approximation, which is more generally valid than geometrically ray theory.
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Singularly Perturbed Linear Two-Point Boundary Value Problems
TL;DR: Troublesome exceptions involving turning points, known as problems of boundary layer resonance, have been studied by many experts since the initial work of Ackerberg and O'Malley, and new, generally more geometric, approaches promise improved understanding of such sensitive asymptotics and their generalizations.
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Zeros of the Jimbo, Miwa, Ueno tau function
TL;DR: In this paper, the authors introduced a family of local deformations for meromorphic connections on P1 in the neighborhood of a higher rank singularity, and they used these local models to prove that the zeros of the tau function, introduced by Jimbo, Miwa, and Ueno in their pioneering work on “Birkhoff deformations at irregular singular points, occur at precisely those points in the deformation space at which a certain Birkhoff-Riemann-Hilbert problem fails to have a solution.
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On the Deligne-Simpson problem
TL;DR: The Deligne-Simpson problem is formulated in this article, where necessary and sufficient conditions for the choice of the conjugacy classes are given for the existence of irreducible $(p+1)$-tuples of matrices with generic eigenvalues.