Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, 17 listopadu 12, 771 46 Olomouc, Czech Republic
Copyright © 2009 Irena Rachůnková and Jan Tomeček. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper investigates the singular differential equation , having a singularity at . The existence of a strictly increasing solution (a homoclinic solution) satisfying , is proved provided that has two zeros and a linear behaviour near .