1 research outputs found
Boundedness and persistence of delay differential equations with mixed nonlinearity
For a nonlinear equation with several variable delays where
the functions increase in some variables and decrease in the others, we
obtain conditions when a positive solution exists on , as well as
explore boundedness and persistence of solutions. Finally, we present
sufficient conditions when a solution is unbounded. Examples include the
Mackey-Glass equation with non-monotone feedback and two variable delays; its
solutions can be neither persistent nor bounded, unlike the well studied case
when these two delays coincide.Comment: 24 pages, published in Applied Mathematics and Computation, 201