On constructive investigation of a class of non-linear boundary value problems for functional differential equations

0392460 - MÚ 2014 RIV RO eng J - Journal Article
Rontó, András - Rontó, M.
On constructive investigation of a class of non-linear boundary value problems for functional differential equations.
Carpathian Journal of Mathematics. Roč. 29, č. 1 (2013), s. 91-108. ISSN 1584-2851. E-ISSN 1843-4401
Institutional research plan: CEZ:AV0Z10190503
Keywords : two-point boundary condition * functional differential equation * successive approximations
Subject RIV: BA - General Mathematics
Impact factor: 0.642, year: 2013
http://carpathian.ubm.ro/issues/OA_cjm_29_2013_091-108.pdf

We consider a two-point boundary value problem for a non-linear system of functional differential equations, for which a scheme of efficient investigation using certain iteration process is constructed. A new convergence condition is established in the case where a certain additional property of the Lipschitz operator is present, which may lead one to weaker assumptions.
Permanent Link: http://hdl.handle.net/11104/0221317