Global attractivity of solutions of first-order delay differential equations with applications in population dynamics. (English) Zbl 1312.34112
Summary: We obtain a sufficient condition for the global attractivity of solution to the differential equation
\[
x'(t)+ p(t) x(t-\tau)= 0,
\]
where the delay \(\tau\) is a positive constant. Further, the results are applied to nonlinear models arising in ecology.
MSC:
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K06 | Linear functional-differential equations |
