General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations

0343870 - MÚ 2011 RIV CZ eng J - Journal Article
Dilna, N. - Rontó, András
General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations.
Mathematica Bohemica. Roč. 133, č. 4 (2008), s. 435-445. ISSN 0862-7959
R&D Projects: GA ČR(CZ) GA201/06/0254
Institutional research plan: CEZ:AV0Z10190503
Keywords : functional differential equation * Cauchy problem * initial value problem * differential inequality
Subject RIV: BA - General Mathematics

New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations and their systems of an arbitrary order.
Permanent Link: http://hdl.handle.net/11104/0186245