Geodesic
A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1294-1298 
A. A. Abramov; L. F. Yukhno. A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1294-1298. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A nonlinear eigenvalue problem for a linear system of ordinary differential equations is examined on a semi-infinite interval. The problem is supplemented by nonlocal conditions specified by a Stieltjes integral. At infinity, the solution must be bounded. In addition to these basic conditions, the solution must satisfy certain redundant conditions, which are also nonlocal. A numerically stable method for solving such a singular overdetermined eigenvalue problem is proposed and analyzed. The essence of the method is that this overdetermined problem is replaced by an auxiliary problem consistent with all the above conditions.

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