Conditions for the absence of positive solutions of first order differential inequalities with deviating arguments.

*(English)* Zbl 0843.34071
Bainov, D. (ed.) et al., Proceedings of the fourth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-22, 1993. Utrecht: VSP. 157-161 (1994).

Summary: Sufficient conditions for the absence of eventually positive solutions of first order differential inequalities with constantly deviating arguments and a coefficient near the critical point are given. In the special case of equality, the results become oscillation criteria.

##### MSC:

34K11 | Oscillation theory of functional-differential equations |

34A40 | Differential inequalities (ODE) |

34C10 | Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory |