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On the initial value problem for two-dimensional linear functional differential systems
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SYSNO ASEP 0347003 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On the initial value problem for two-dimensional linear functional differential systems Author(s) Šremr, Jiří (MU-W) RID, SAI, ORCID Source Title Memoirs on Differential Equations and Mathematical Physics - ISSN 1512-0015
Roč. 50, - (2010), s. 1-127Number of pages 127 s. Language eng - English Country GE - Georgia Keywords two-dimensional linear functional differential system ; initial value problem ; unique solvability ; theorem on differential inequality Subject RIV BA - General Mathematics R&D Projects GA201/06/0254 GA ČR - Czech Science Foundation (CSF) GP201/04/P183 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation The paper of monographic type collects and supplements previous author's results. The work deals with the question on the existence and uniqueness of a solution of the initial value problem for two-dimensional systems of linear functional differential equations. Unimprovable efficient conditions sufficient for the unique solvability of the problem considered are established. The question on the existence of a constant-sign solution is also studied in detail. In other words, theorems on systems of linear functional differential inequalities (maximum principles) are discussed, which play a crucial role not only in studies of solvability of linear and non-linear problems but also for other topics related to the theory of boundary value problems (e.g., oscillation theory, asymptotic theory, etc.). Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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