Address:
Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, 842 48 Bratislava, Slovakia
Department of Mathematics, Faculty of Science, Hiroshima University, Higashi Hiroshima 739-8526, Japan
E-mail:
jaros@fmph.uniba.sk
kusanot@zj8.so-net.ne.jp
Abstract: Two identities of the Picone type for a class of half-linear differential systems in the plane are established and the Sturmian comparison theory for such systems is developed with the help of these new formulas.
AMSclassification: primary 34C10.
Keywords: half-linear differential systems, Picone identity, Sturmian comparison.
DOI: 10.5817/AM2017-3-131