Belaïdi, B. Oscillation of fixed points of solutions of some linear differential equations. (English) Zbl 1174.34528 Acta Math. Univ. Comen., New Ser. 77, No. 2, 263-269 (2008). Linear differential equations \[ f^{(k)}+A(z)f=0,\;k\geq 2, \] are considered for transcendental meromorphic functions \(A\) of finite orders. It is shown that under certain conditions \(f\), \(f',\cdots,f^{(k)}\) have infinitely many fixed points. This result is a consequence of a more general achievement on solutions of the above equation. Reviewer: Michal Fečkan (Bratislava) Cited in 4 Documents MSC: 34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain Keywords:linear differential equations; meromorphic solutions; iterated order PDFBibTeX XMLCite \textit{B. Belaïdi}, Acta Math. Univ. Comen., New Ser. 77, No. 2, 263--269 (2008; Zbl 1174.34528) Full Text: EuDML