Nonlocal boundary value problems with BV-type data
In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives. To this end, we apply fixed point theorems to an equivalent nonlinear perturbed Hammerstein integral equation....
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - határérték probléma |
| doi: | 10.14232/ejqtde.2020.1.69 |
| Online Access: | http://acta.bibl.u-szeged.hu/73630 |
| LEADER | 01495nas a2200229 i 4500 | ||
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| 005 | 20211105130741.0 | ||
| 008 | 211105s2020 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2020.1.69 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Appell Jürgen | |
| 245 | 1 | 0 | |a Nonlocal boundary value problems with BV-type data |h [elektronikus dokumentum] / |c Appell Jürgen |
| 260 | |c 2020 | ||
| 300 | |a 18 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives. To this end, we apply fixed point theorems to an equivalent nonlinear perturbed Hammerstein integral equation. Here we consider non- standard boundary conditions like coupled boundary conditions, uncoupled boundary conditions, or integral-type boundary conditions. We also prove an abstract result concerning the spectral radii of some general classes of operators which applies to all boundary value problems mentioned above. The abstract results are throughout illustrated by a large number of examples. | |
| 695 | |a Differenciálegyenlet - határérték probléma | ||
| 700 | 0 | 1 | |a Bugajewska Daria |e aut |
| 700 | 0 | 1 | |a Reinwand Simon |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73630/1/ejqtde_2020_069.pdf |z Dokumentum-elérés |