Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems
The $R_{\delta}$-structure of solutions is investigated for asymptotic, higher-order, vector boundary value problems. Using the inverse limit technique, the topological structure is also studied, as the first step, on compact intervals. The main theorems are supplied by illustrative examples. One of...
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6925 |
| _version_ | 1797830508964478976 |
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| author | Jan Andres Martina Pavlačkovà |
| author_facet | Jan Andres Martina Pavlačkovà |
| author_sort | Jan Andres |
| collection | DOAJ |
| description | The $R_{\delta}$-structure of solutions is investigated for asymptotic, higher-order, vector boundary value problems. Using the inverse limit technique, the topological structure is also studied, as the first step, on compact intervals. The main theorems are supplied by illustrative examples. One of them is finally applied, on the basis of our recently developed principle, to nontrivial existence problems. |
| first_indexed | 2024-04-09T13:38:19Z |
| format | Article |
| id | doaj.art-5e383a7e34d74fd7a5cfd67e790bf2f8 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:19Z |
| publishDate | 2018-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5e383a7e34d74fd7a5cfd67e790bf2f82023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-08-0120187012910.14232/ejqtde.2018.1.706925Topological structure of solution sets to asymptotic $n$-th order vector boundary value problemsJan Andres0Martina Pavlačkovà1Palacky University, Olomouc, Czech RepublicPalacky University, Olomouc, Czech RepublicThe $R_{\delta}$-structure of solutions is investigated for asymptotic, higher-order, vector boundary value problems. Using the inverse limit technique, the topological structure is also studied, as the first step, on compact intervals. The main theorems are supplied by illustrative examples. One of them is finally applied, on the basis of our recently developed principle, to nontrivial existence problems.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6925asymptotic $n$-th order vector problemstopological structure$r_{\delta}$-setinverse limit techniquehukuhara–kneser–aronszajn type results |
| spellingShingle | Jan Andres Martina Pavlačkovà Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems Electronic Journal of Qualitative Theory of Differential Equations asymptotic $n$-th order vector problems topological structure $r_{\delta}$-set inverse limit technique hukuhara–kneser–aronszajn type results |
| title | Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems |
| title_full | Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems |
| title_fullStr | Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems |
| title_full_unstemmed | Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems |
| title_short | Topological structure of solution sets to asymptotic $n$-th order vector boundary value problems |
| title_sort | topological structure of solution sets to asymptotic n th order vector boundary value problems |
| topic | asymptotic $n$-th order vector problems topological structure $r_{\delta}$-set inverse limit technique hukuhara–kneser–aronszajn type results |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6925 |
| work_keys_str_mv | AT janandres topologicalstructureofsolutionsetstoasymptoticnthordervectorboundaryvalueproblems AT martinapavlackova topologicalstructureofsolutionsetstoasymptoticnthordervectorboundaryvalueproblems |