Solving an initial boundary value problem on thesemiinfinite interval

Authors

FERİHE ATALAN
GUSEIN SH. GUSEINOV

Abstract

We explore the sign properties of eigenvalues and the basis properties of eigenvectors for a special quadratic matrix polynomial and use the results obtained to solve the corresponding linear system of differential equations on the half line subject to an initial condition at $t=0$ and a condition at $t=\infty$.

DOI

10.3906/mat-1504-38

Keywords

Quadratic eigenvalue problem, eigenvalues, eigenvectors

First Page

317

Last Page

332

Recommended Citation

ATALAN, FERİHE and GUSEINOV, GUSEIN SH. (2016) "Solving an initial boundary value problem on thesemiinfinite interval," Turkish Journal of Mathematics: Vol. 40: No. 2, Article 8. https://doi.org/10.3906/mat-1504-38
Available at: https://journals.tubitak.gov.tr/math/vol40/iss2/8