Geodesic
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Applications of Mathematics, Tome 58 (2013) no. 6, pp. 689-702.

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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.
DOI : 10.1007/s10492-013-0035-1
Classification : 34B15, 47H11
Keywords: cone; lattice; topological degree 
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     title = {Computation of topological degree in ordered {Banach} spaces with lattice structure and applications},
     journal = {Applications of Mathematics},
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Cui, Yujun. Computation of topological degree in ordered Banach spaces with lattice structure and applications. Applications of Mathematics, Tome 58 (2013) no. 6, pp. 689-702. doi : 10.1007/s10492-013-0035-1. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0035-1/

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