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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
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SYSNO ASEP 0484751 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line Author(s) Hakl, Robert (MU-W) RID, SAI, ORCID
Aguerrea, M. (CL)Source Title Proceedings of the Royal Society of Edinburgh. A - Mathematics. - : Royal Society of Edinburgh - ISSN 0308-2105
Roč. 147, č. 6 (2017), s. 1119-1168Number of pages 50 s. Language eng - English Country GB - United Kingdom Keywords functional differential equations ; boundary-value problems ; global existence Subject RIV BA - General Mathematics OECD category Applied mathematics Institutional support MU-W - RVO:67985840 UT WOS 000423239000001 EID SCOPUS 85041365583 DOI 10.1017/S0308210516000524 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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