Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626298 | Applied Mathematics and Computation | 2015 | 17 Pages |
Abstract
The nonlinear delay differential equation xË(t)=r(t)[g(t,xt)âh(x(t))],tâ¥0 is considered. Sufficient conditions are established for the uniform permanence of the positive solutions of the equation. In several particular cases, explicit formulas are given for the upper and lower limit of the solutions. In some special cases, we give conditions which imply that all solutions have the same asymptotic behavior, in particular, when they converge to a periodic or constant steady-state.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
István GyÅri, Ferenc Hartung, Nahed A. Mohamady,