Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line

0484751 - MÚ 2018 RIV GB eng J - Journal Article
Hakl, Robert - Aguerrea, M.
Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line.
Proceedings of the Royal Society of Edinburgh. A - Mathematics. Roč. 147, č. 6 (2017), s. 1119-1168. ISSN 0308-2105. E-ISSN 1473-7124
Institutional support: RVO:67985840
Keywords : functional differential equations * boundary-value problems * global existence
OECD category: Applied mathematics
Impact factor: 0.889, year: 2017

Efficient conditions guaranteeing the existence of a global solution, which is bounded and non-negative in the neighbourhood of ..., to a functional differential equation are established provided that the operators on the right-hand side 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.
Permanent Link: http://hdl.handle.net/11104/0279896