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, F, & GUSEINOV, G. S (2016). Solving an initial boundary value problem on thesemiinfinite interval. Turkish Journal of Mathematics 40 (2): 317-332. https://doi.org/10.3906/mat-1504-38