Planar linear differential weakly delayed systems with constant matrices and equivalent ordinary differential systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0198231" target="_blank" >RIV/00216305:26620/26:0198231 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X25005219?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X25005219?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2025.129740" target="_blank" >10.1016/j.jmaa.2025.129740</a>

Result language
angličtina
Original language name
Planar linear differential weakly delayed systems with constant matrices and equivalent ordinary differential systems
Original language description
Considered is a linear planar delayed differential system x(center dot)(t) = Ax(t) + Bx(t-tau), where t >= 0, tau > 0 is a constant delay and A, Bare 2 x 2 constant matrices. Assuming that the system is weakly delayed, its general solution is constructed utilizing the Laplace transform. All the cases are specified of the solutions merging. Moreover, ordinary differential systems are considered such that general solutions of both delayed and non-delayed systems coincide when a transient interval is passed. Initial data for the relevant non-delayed systems are used such that these define the same solution as the corresponding initial data to the delayed system. An analysis of previous findings is given with two illustrative examples considered. Some open problems are suggested as well.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA23-06476S" target="_blank" >GA23-06476S: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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