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Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line
| dc.contributor.author | Aguerrea-Planas, Maitere | |
| dc.contributor.author | Hakl, Robert | |
| dc.date.accessioned | 2018-08-01T13:40:25Z | |
| dc.date.available | 2018-08-01T13:40:25Z | |
| dc.date.issued | 2017 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/1887 | |
| dc.description.abstract | Consider the equation u'(t) = l0(u)(t) - l1(u)(t) + f(u)(t) for almost every t ϵ R, where li : Cloc(R;R) → Lloc(R;R) (i = 0, 1) are linear positive continuous operators and f : Cloc(R;R) → Lloc(R;R) is a continuous operator satisfying the local Carathéodory conditions. Efficient conditions guaranteeing the existence of a global solution, which is bounded and non-negative in the neighbourhood of -8, to the equation considered are established provided that l0, l1 and f are Volterra-type operators. The existence of a solution that is positive on the whole real line is discussed as well. Furthermore, the asymptotic properties of such solutions are studied in the neighbourhood of -∞. The results are applied to certain models appearing in the natural sciences. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 147(6), 1119-1168 | es_CL |
| dc.subject | Functional differential equations | es_CL |
| dc.subject | Boundary-value problems | es_CL |
| dc.subject | Global existence | es_CL |
| dc.subject | Asymptotic properties | es_CL |
| dc.title | Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/existence-and-properties-of-semibounded-global-solutions-to-the-functional-differential-equation-with-volterratype-operators-on-the-real-line/5467CC12D116BB694C72A0545EE1DD72 | es_CL |
| dc.ucm.doi | doi.org/10.1017/S0308210516000524 | es_CL |
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