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Open Access Research Article

Superlinear Singular Problems on the Half Line

Irena Rachůnková* and Jan Tomeček

Author Affiliations

Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, tř . 17. listopadu 12, 771 46 Olomouc, Czech Republic

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Boundary Value Problems 2010, 2010:429813  doi:10.1155/2010/429813

Published: 15 December 2010

Abstract

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.