Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (2): 269-273.

• Articles • Previous Articles     Next Articles

First Order Linear Differential Inequlities

  

  1. (Department of Applied Mathematics, Central South University of Technology, Changsha, 410083)
    (Department of Applied Mathematics, Hunan University, Changsha, 410082)
     
  • Online:2000-03-03 Published:2000-03-03

Abstract:

 In this paper, the nonexistence of eventually positive solutions of the first order linear delay differential inequality
     x′(t) + p(t)x(τ(t)) ≤ 0
is investigated, where p(t), τ(t)∈C([t0,∞),[0,∞)),τ(t)≤t. The obtained sufficient conditions improve many known results in the literature.

Key words: Delay, Differentialinequality, Eventuallypositivesolution

CLC Number: 

  • 34K15,34C10
Trendmd