Associated functions of a nonlinear spectral problem for a system of ordinary differential equations


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We study the notion of associated functions of a nonlinear spectral problem for a linear system of ordinary differential equations supplemented with nonlocal conditions given by a Stieltjes integral. We establish the relationship of this problem with the corresponding problem in a finite-dimensional linear space. We consider a numerical method for finding associated functions and justify its stability.

Sobre autores

A. Abramov

Dorodnitsyn Computing Center; Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPHI

Autor responsável pela correspondência
Email: alalabr@ccas.ru
Rússia, Moscow; Moscow; Moscow

L. Yukhno

Dorodnitsyn Computing Center; Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPHI

Email: alalabr@ccas.ru
Rússia, Moscow; Moscow; Moscow

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