Conditions for the absence of positive solutions of first order differential inequalities with deviating arguments. (English) Zbl 0843.34071

Kozakiewicz, E.

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.
For the entire collection see [Zbl 0835.00017].

MSC:

34K11	Oscillation theory of functional-differential equations
34A40	Differential inequalities involving functions of a single real variable
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

absence of eventually positive solutions; first order differential inequalities with constantly deviating arguments; oscillation