On a class of functional differential equations with symmetries

0521842 - MÚ 2020 RIV CH eng J - Journal Article
Dilna, N. - Fečkan, M. - Rontó, András
On a class of functional differential equations with symmetries.
Symmetry-Basel. Roč. 11, č. 12 (2019), č. článku 1456. E-ISSN 2073-8994
Institutional support: RVO:67985840
Keywords : functional differential equation * argument deviation * periodic * unique solvability
OECD category: Applied mathematics
Impact factor: 2.645, year: 2019
Method of publishing: Open access
http://dx.doi.org/10.3390/sym11121456

It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution.
Permanent Link: http://hdl.handle.net/11104/0306397