Perturbation Formulas for a Nonlinear Eigenvalue Problem for Ordinary Differential Equations

Аннотация

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.