Classification of positive solutions for nonlinear differential systems

Document Type : Original Article


School of Computer Science and Mathematics, University of Central Missouri, Warrensburg, MO 64093, USA


The classification of positive solutions for a class of nonlinear differential systems is investigated. Necessary and sufficient conditions are established for the existence of certain solutions. Sufficient conditions for the nonexistence of certain solutions are also discussed. In particular, some sufficient conditions for the nonexistence are optimal in some sense.