Topological structure of solution sets to asymptotic boundary value problems |
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Authors: | Jan Andres,Martina Pavla?ková |
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Affiliation: | Dept. of Math. Analysis and Appl. of Mathematics, Fac. of Science, Palacký University, T?. 17. listopadu 12, 771 46 Olomouc, Czech Republic |
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Abstract: | Topological structure is investigated for second-order vector asymptotic boundary value problems. Because of indicated obstructions, the Rδ-structure is firstly studied for problems on compact intervals and then, by means of the inverse limit method, on non-compact intervals. The information about the structure is furthermore employed, by virtue of a fixed-point index technique in Fréchet spaces developed by ourselves earlier, for obtaining an existence result for nonlinear asymptotic problems. Some illustrating examples are supplied. |
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Keywords: | 34A60 34B15 34B40 47H04 |
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