R. Costin

activity

19972024

most citedOn the formation of singularities of solutions of nonlinear differential systems in antistokes directions

85 citations · 158 across the 28 of their papers we have counts for

collaborators

Showing 2006 · math.CAShow all

2 papers · 2 filters

math.CA2006

Rigorous WKB for finite order linear recurrence relations with smooth coefficients

O. Costin, R. D. Costin

We study the $ε \to 0$ behavior of recurrence relations of the type $\sum_{j = 0}^{l} a_{j} (k ε, ε) y_{k + j} = 0,$ $k\in \zdd$ ( $l$ fixed). The $a_{j}$ are $C^{\infty}$ functions in each variable…

math.CA2006★ 1 cited

Rigorous bounds of Stokes constants for some nonlinear ODEs at rank one irregular singularities

O. Costin, R. D. Costin, M. Kohut

A rigorous way to obtain sharp bounds for Stokes constants is introduced and illustrated on a concrete problem arising in applications.