Perturbation Formulas for a Nonlinear Eigenvalue Problem for Ordinary Differential Equations


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Resumo

The eigenvalue problem for a linear system of ordinary differential equations is considered. The problem is nonlinear with respect to the spectral parameter and involves generally nonlocal additional conditions specified by a Stieltjes integral. Additionally, the input data of the problem depend on a numerical parameter. Formulas giving the principal part of the variation in the solution of the eigenvalue problem under a small variation in this parameter are proposed.

Sobre autores

A. Abramov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Russian Academy of Sciences

Autor responsável pela correspondência
Email: alalabr@ccas.ru
Rússia, Moscow, 119333

L. Yukhno

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Autor responsável pela correspondência
Email: yukhno@imamod.ru
Rússia, Moscow, 125047

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