Geodesic
Positiveness conditions for the Cauchy function for differential equations with distributed delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 50-62

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We obtain unimprovable sufficient conditions for the positivity of the Cauchy function for differential equation with distributed delay. Based on these conditions, we study some asymptotic properties of solutions of the Hutchinson–Wright equation, the Lasota–Wazevska equation, and the Nicholson equation.
Keywords: functional-differential equation, positivity of the Cauchy function, Hutchinson–Wright equation, Nicholson equation.
Mots-clés : Lasota–Wazevska equation 
@article{IVM_2010_11_a4,
     author = {T. L. Sabatulina},
     title = {Positiveness conditions for the {Cauchy} function for differential equations with distributed delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {50--62},
     publisher = {mathdoc},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_11_a4/}
}
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T. L. Sabatulina. Positiveness conditions for the Cauchy function for differential equations with distributed delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 50-62. http://geodesic.mathdoc.fr/item/IVM_2010_11_a4/