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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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Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations
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Painleve' transcendents and two-dimensional topological field theory
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Topological construction of transseries and introduction to generalized Borel summability
TL;DR: In this paper, a general contractive mapping principle is formulated and proved, showing the closure of transseries under a wide class of operations, and an overview of results and methods reconstruction of actual functions and solutions of equations from transseries by generalized Borel summation with in ordinary and partial differential and difference equations.
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Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlev\'e IV Equation
TL;DR: In this paper, a Hankel determinant formula for generic solutions of the Painleve' II equation is considered and it is shown that the generating functions for the entries of the determinants are related to the asymptotic solution at infinity of the linear problem, which describes the isomonodromic deformations.
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Exact WKB analysis of non-adiabatic transition probabilities for three levels
TL;DR: In this article, the Schrodinger equation idψ/dt = ηHψ with a large parameter η and an appropriate 3×3 matrix H is studied by the exact WKB method, i.e. WKB analysis based on the Borel resummation.