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Differentical equations, dynamical systems and optimal control
The correctness of a family of integral and delay differential equations, used in models of living systems
N. V. Pertseva, B. Yu. Pichugina, A. N. Pichuginab a Sobolev Institute of Mathematics, Pevtsova st., 13, 644043, Omsk, Russia
b Omsk State University, pr. Mira, 55A, 644077, Omsk, Russia
Abstract:
We consider a family of integral equations arising in mathematical models of some living systems. Depending on the choice of the survival of elements of living systems integral equation is reduced to the equivalent of the Cauchy problem for non-autonomous differential equations with a point or distributed delays. Problems of existence, uniqueness, nonnegativity and extendibility of solutions are investigated.
Keywords:
integral equation, delay differential equation, properties of solutions, mathematical model, living systems.
Received March 19, 2016, published October 6, 2016
Citation:
N. V. Pertsev, B. Yu. Pichugin, A. N. Pichugina, “The correctness of a family of integral and delay differential equations, used in models of living systems”, Sib. Èlektron. Mat. Izv., 13 (2016), 815–828
Linking options:
https://www.mathnet.ru/eng/semr715 https://www.mathnet.ru/eng/semr/v13/p815
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Abstract page: | 161 | Full-text PDF : | 51 | References: | 41 |
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