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Asymptotic expansions for ordinary differential equations

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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Proceedings ArticleDOI

Simultaneously row- and column-reduced higher-order linear differential systems

TL;DR: The present paper shows how one can transform an input linear DAE into a reduced form that allows for the decoupling of the differential and algebraic components of the system.
Dissertation

Dynamical Systems Methods Applied to the Michaelis-Menten and Lindemann Mechanisms

TL;DR: In this article, the authors explore an iterative procedure to determine the detailed asymptotic behavior of solutions of a certain class of nonlinear vector differential equations which approach a nonlinear sink as time tends to infinity.
Proceedings ArticleDOI

ESF: an automatically generated encyclopedia of special functions

TL;DR: This work presents the on-going work on the automatic generation of an encyclopedia of special functions on the web, called The Encyclopedia of Special Functions (ESF), which is achieved by exploiting a collection of computer algebra algorithms in a systematic way, on top of a specially designed data structure for a class ofspecial functions.
Posted Content

Quicksilver Solutions of a q-difference first Painlev\'e equation

TL;DR: In this article, a quicksilver solution of a discrete version of the first Painleve equation is presented, whose phase space (space of initial values) is a rational surface of type $A_7^{(1) ).
Journal ArticleDOI

Mean-field theories for depinning and their experimental signatures.

TL;DR: This work model forces as an Ornstein-Uhlenbeck process, and solves the model largely analytically, allowing it to describe in all regimes the distributions of velocity, avalanche size, and duration.