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.
Citation
George Seifert. "Almost periodic solutions for delay logistic equations with almost periodic time dependence." Differential Integral Equations 9 (2) 335 - 342, 1996. https://doi.org/10.57262/die/1367603350
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