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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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Series with general exponents

TL;DR: In this article, the Artinian and Noetherian algebra is defined, which consists of formal series involving exponents which are not necessarily integers and all of the usual operations are defined here and characterized.
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Exact conditions for existence of homoclinic orbits in the fifth-order KdV model

TL;DR: In this article, the dependence γ(e) in the limit e → 0 was studied and it was shown that every homoclinic orbit can be single-humped for sufficiently small e.
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Targeted reduction of complex models with time scale hierarchy--a case study.

TL;DR: The paper provides an illustration of a protocol that could be followed to make validated simplifications of complex biological models possessing time scale hierarchies, and how the making of a reduced model represents an efficient analytical sensitivity analysis.
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On the construction of solutions of systems of linear ordinary differential equations in the neighbourhood of a regular singularity

TL;DR: In this article, a method allowing to construct successively all linearly independent solutions of systems of linear ordinary differential equations in the neighbourhood of a regular singularity as algebraic combinations of a power series, power and a logarithmic function log x is proposed.