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Applications of Mathematics

, Volume 58, Issue 6, pp 689–702 | Cite as

Computation of topological degree in ordered Banach spaces with lattice structure and applications

  • Yujun CuiEmail author
Article

Abstract

Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.

Keywords

cone lattice topological degree 

MSC 2010

47H11 34B15 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2013

Authors and Affiliations

  1. 1.Department of MathematicsShandong University of Science and TechnologyQingdaoP. R. China

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