Boundedness and persistence of delay differential equations with mixed nonlinearity

Abstract

For a nonlinear equation with several variable delays ẋ(t) = m ∑ k=1 fk(t, x(h1(t)), . . . , x(hl (t)))− g(t, x(t)), where the functions fk increase in some variables and decrease in the others, we obtain conditions when a positive solution exists on [0, ∞), as well as explore boundedness and persistence of solutions. Finally, we present sufficient… (More)
DOI: 10.1016/j.amc.2016.01.015

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