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pro vyhledávání: '"Domoshnitsky Alexander"'
We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \prime }(t)+p(t)x(t-\tau (t))=0,~~t\geq s\text{ }\ \end{equation*} wher
Externí odkaz:
http://arxiv.org/abs/2306.13228
Publikováno v:
In Applied Mathematics Letters August 2024 154
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2024 531(2) Part 2
We consider mathematical models of infection diseases built by G.I. Marchuk in his well known book on immunology. These models are in the form of systems of ordinary delay differential equations. We add a distributed control in one of the equations d
Externí odkaz:
http://arxiv.org/abs/2008.12106
Autor:
Domoshnitsky Alexander
Publikováno v:
Advances in Difference Equations, Vol 2010, Iss 1, p 478020 (2010)
The method to compare only one component of the solution vector of linear functional differential systems, which does not require heavy sign restrictions on their coefficients, is proposed in this paper. Necessary and sufficient conditions of the pos
Externí odkaz:
https://doaj.org/article/19717c7e6d7b44cf8ed2371729643bdc
Publikováno v:
Journal of Inequalities and Applications, Vol 2009, Iss 1, p 141959 (2009)
We obtain the maximum principles for the first-order neutral functional differential equation where , and are linear continuous operators, and are positive operators, is the space of continuous functions, and is the space of essentially bounded funct
Externí odkaz:
https://doaj.org/article/00d10501187646fcb808b012ddb26961
Publikováno v:
Journal of Inequalities and Applications, Vol 2007, Iss 1, p 052304 (2007)
For the differential system , , , where , , , we get necessary and sufficient conditions that this system does not have solutions satisfying the condition for . Note one of our results obtained for this system with constant coefficients and delays (
Externí odkaz:
https://doaj.org/article/ad3e5b1fab704629ba031836e0e93b17