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.
|34K11||Oscillation theory of functional-differential equations|
|34A40||Differential inequalities (ODE)|
|34C10||Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory|