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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 کشاورزیread more
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Stratified canonical forms of matrix valued functions in a neighborhood of a transition point
TL;DR: In this article, it was shown that the existence and uniqueness of the solutions of the Cauchy (initial value) and mixed (initial-boundary value) problems, on the correctness of these problems, and on explicit constructions of the fundamental and other solutions or parametrices for these problems for hyperbolic systems, have been obtained using a reduction of the principal symbols of these systems to suitable canonical forms.
Journal ArticleDOI
Construction of local and non-local conservation laws for non-linear field equations
V. S. Vladimirov,I. V. Volovich +1 more
TL;DR: In this article, a method of constructing conserved currents for non-linear field equations is presented, which can be derived from compatibility conditions of some linear system with a parameter, and a procedure of obtaining explicit expressions for local and non-local currents is developed.
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An inverse factorial series for a general gamma ratio and related properties of the N{\o}rlund-Bernoulli polynomials
Dmitrii Karp,E. G. Prilepkina +1 more
TL;DR: In this article, an inverse factorial series expansion for the ratio of products of gamma functions whose arguments are linear functions of the variable was obtained and a recurrence relation for the coefficients in terms of the Norlund-Bernoulli polynomials was derived.
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Normal forms for analytic matrix valued functions
Samir Khabbaz,Gilbert Stengle +1 more
Journal ArticleDOI
Neural firing rate model with a steep firing rate function
TL;DR: In this article, the authors justify rigorously the approximation of the steep firing rate functions with a unit step function in a two-population neural firing rate model with steep firing rates.