Atalan, FeriheAtalan, FeriheGuseinov, Gusein Sh.Hüseyin, Hüseyin ŞirinMathematics2024-07-052024-07-05201611300-00981303-614910.3906/mat-1504-382-s2.0-84958162956https://doi.org/10.3906/mat-1504-38https://hdl.handle.net/20.500.14411/535Atalan, Ferihe/0000-0001-6547-0570We 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 = infinity.eninfo:eu-repo/semantics/openAccessQuadratic eigenvalue problemeigenvalueseigenvectorsArticleQ2Q2402317332WOS:000386113000008