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 $t=\infty$.

Keywords: Quadratic eigenvalue problem, eigenvalues, eigenvectors

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