## Differential and Integral Equations

### Almost periodic solutions for delay logistic equations with almost periodic time dependence

George Seifert

#### Abstract

If $a(t)$ and $b(t)$ are positive almost periodic functions, and $K(t)$ is nonnegative and piecewise continuous on $[0,\infty),$ conditions under which the equation $$N'(t) = N(t)\Big( a(t) - b(t) \int_0^\infty K(s) N(t-s)\,ds \Big)$$ has a positive almost periodic solution $N^*(t)$ on $(-\infty,\infty)$ are given which attracts all other positive solutions as $t\to a.$ These conditions are quite explicit and apparently new.

#### Article information

Source
Differential Integral Equations, Volume 9, Number 2 (1996), 335-342.

Dates
First available in Project Euclid: 3 May 2013

https://projecteuclid.org/euclid.die/1367603350

Mathematical Reviews number (MathSciNet)
MR1364052

Zentralblatt MATH identifier
0838.34083

Subjects
Primary: 34K15
Secondary: 45M15: Periodic solutions

#### Citation

Seifert, George. Almost periodic solutions for delay logistic equations with almost periodic time dependence. Differential Integral Equations 9 (1996), no. 2, 335--342. https://projecteuclid.org/euclid.die/1367603350