Open AccessBook
Asymptotic expansions for ordinary differential equations
Reads0
Chats0
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
Citations
More filters
Journal ArticleDOI
Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei
TL;DR: In this paper, a classification of the self-adjoint extensions of the three-dimensional Dirac-Coulomb operator in the critical regime of the Coulomb coupling is presented.
Journal ArticleDOI
Application of Vasileva's singular perturbation method to a problem in ecology
D. S. Naidu,P. K. Rajagopalan +1 more
TL;DR: In this article, the singular perturbation method is applied to a specific species-resource logistic model and an algorithm for implementation on a digital computer is given, where solutions are obtained for zeroth, first and second order approximations.
Journal ArticleDOI
Arnold's canonical matrices and the asymptotic simplification of ordinary differential equations
TL;DR: In this paper, an invertible, holomorphic matrix function with an asymptotic expansion P(x,e)∾Σ ∞ r=0 P r (x)e r, as e → 0 +, is constructed, such that the transformation y = P (x, e ) z takes the differential equation e h dy dx = A(x,e)y,h a positive integer, into e h dz dx = B(x and e)z, where B ( x,e),e ) is a matrix in
Journal ArticleDOI
The complex WKB method for difference equations and Airy functions
Alexander Fedotov,Frédéric Klopp +1 more
TL;DR: In an h-independent neighborhood of such a point, uniform asymptotic expansions for analytic solutions to the difference equation are derived from the natural analogues of the simple turning points defined for the differential equation.