Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind

We study the existence of solutions to a non-homogeneous system of linear ODEs which has the pole of first order at $x=0$; these solutions should vanish at infinity and be continuously differentiable on $[0,infty)$. The resonant case where the corresponding homogeneous problem has nontrivial s...

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Bibliographic Details
Main Authors: Lyudmyla Protsak, Igor Parasyuk, Yulia Horishna
Format: Article
Language:English
Published: Texas State University 2008-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/137/abstr.html