Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, tř . 17. listopadu 12, 771 46 Olomouc, Czech Republic
Copyright © 2010 Irena Rachůnková and Jan Tomeček. This is an open access article distributed under the
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The paper studies the singular differential equation , which has a singularity at . Here the existence of strictly increasing solutions satisfying is proved under the assumption that has two zeros 0 and and a superlinear behaviour near . The problem generalizes some models arising in hydrodynamics or in the nonlinear field theory.