Superlinear Singular Problems on the Half Line
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, tř . 17. listopadu 12, 771 46 Olomouc, Czech Republic
Boundary Value Problems 2010, 2010:429813 doi:10.1155/2010/429813Published: 15 December 2010
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.