| Title:
|
Computation of topological degree in ordered Banach spaces with lattice structure and applications (English) |
| Author:
|
Cui, Yujun |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
58 |
| Issue:
|
6 |
| Year:
|
2013 |
| Pages:
|
689-702 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
cone |
| Keyword:
|
lattice |
| Keyword:
|
topological degree |
| MSC:
|
34B15 |
| MSC:
|
47H11 |
| idZBL:
|
Zbl 06312922 |
| idMR:
|
MR3162755 |
| DOI:
|
10.1007/s10492-013-0035-1 |
| . |
| Date available:
|
2013-11-09T20:18:56Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143506 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[10] Sun, J., Liu, X.: Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations.J. Math. Anal. Appl. 348 (2008), 927-937. Zbl 1177.47065, MR 2446045, 10.1016/j.jmaa.2008.05.023 |
| Reference:
|
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| Reference:
|
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| . |
