This article is cited in 7 papers

Positiveness conditions for the Cauchy function for differential equations with distributed delay

T. L. Sabatulina

Chair of Computational Mathematics and Mechanics, Perm State Technical University, Perm, Russia

Abstract: 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, Lasota–Wazevska equation, Nicholson equation.

UDC: 517.929

Received: 02.04.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:11, 44–55

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