Čermák, Jan The Abel equation in the asymptotic theory of functional differential equations. (English) Zbl 1010.39007 Aequationes Math. 64, No. 1-2, 89-103 (2002). The author studies the asymptotic behaviour of the solutions of the matrix delay differential equation \[ \dot {\mathbf x} (t) = {\mathbf {A x}} (\tau (t)) + {\mathbf {Bx}} (t) \quad t \in [t_0, \infty) \] with complex constant matrices A,B and \( \tau \) a real-valued function satisfying certain regularity conditions. Relations with the Abel equation \( \varphi ( \tau (t)) = \varphi (t) - 1 \) are given. Reviewer: Claudi Alsina (Barcelona) Cited in 2 Documents MSC: 39B22 Functional equations for real functions 39B72 Systems of functional equations and inequalities 34K25 Asymptotic theory of functional-differential equations Keywords:Abel equation; functional differential equation; asymptotic behaviour; matrix delay differential equation PDFBibTeX XMLCite \textit{J. Čermák}, Aequationes Math. 64, No. 1--2, 89--103 (2002; Zbl 1010.39007) Full Text: DOI