Geodesic
The correctness of a family of integral and delay differential equations, used in models of living systems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 815-828

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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. 
@article{SEMR_2016_13_a82,
     author = {N. V. Pertsev and B. Yu. Pichugin and A. N. Pichugina},
     title = {The correctness of a family of integral and delay differential equations, used in models of living systems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {815--828},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a82/}
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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. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 815-828. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a82/