Successive approximation technique for investigation of solutions of some linear boundary value problems for functional-differential equations with special deviation of argument

0358227 - MÚ 2011 RIV IN eng J - Journal Article
Rontó, András - Rontó, M.
Successive approximation technique for investigation of solutions of some linear boundary value problems for functional-differential equations with special deviation of argument.
International journal of qualitative theory of differential equations and applications. Roč. 3, 1-2 (2009), s. 127-139. ISSN 0973-3590
Institutional research plan: CEZ:AV0Z10190503
Keywords : functional-differential equation * deviation of argument * linear boundary condition * successive approximations
Subject RIV: BA - General Mathematics

We suggest successive approximation techniques for studying two-point boundary value problems for linear differential equations with argument deviations. We refine of certain estimates related to the convergence analysis of successive approximations in the cases where argument deviations possess certain special properties.
Permanent Link: http://hdl.handle.net/11104/0196322