Nonpositive solutions of one functional differential inequality

0346996 - MÚ 2011 RIV UA eng J - Journal Article
Lomtatidze, Alexander - Opluštil, Z. - Šremr, Jiří
Nonpositive solutions of one functional differential inequality.
Nonlinear Oscillations. Roč. 12, č. 4 (2009), s. 474-509. ISSN 1536-0059
R&D Projects: GA ČR(CZ) GA201/06/0254
Institutional research plan: CEZ:AV0Z10190503
Keywords : linear functional differential equation * nonpositive solution * theorem on differential inequalities * non-local BVP
Subject RIV: BA - General Mathematics
http://link.springer.com/article/10.1007%2Fs11072-010-0090-4

In the paper, the question on the validity of a certain theorem on functional-differential inequalities is investigated. In other words, a certain maximum principle is studied for the first-order linear functional-differential equations. The results obtained are very useful for the investigation of the question on solvability and unique solvability of non-local boundary value problems for first-order functional differential equations in both linear and nonlinear cases.
Permanent Link: http://hdl.handle.net/11104/0187874