Fabry, Christian; Habets, Patrick Degree computations for positively homogeneous differential equations. (English) Zbl 1059.34002 Topol. Methods Nonlinear Anal. 23, No. 1, 73-88 (2004). The authors provide a method for the computation of the topological degree associated to some second-order ODEs with asymptotically positively homogeneous nonlinearities. Surprisingly enough, this degree can sometimes assume any negative value. The existence of periodic solutions can then be directly deduced. Reviewer: Alessandro Fonda (Trieste) MSC: 34A26 Geometric methods in ordinary differential equations 34C25 Periodic solutions to ordinary differential equations 47H11 Degree theory for nonlinear operators Keywords:periodic solutions; Brower degree PDFBibTeX XMLCite \textit{C. Fabry} and \textit{P. Habets}, Topol. Methods Nonlinear Anal. 23, No. 1, 73--88 (2004; Zbl 1059.34002) Full Text: DOI