## Increasing convergent and divergent solutions to nonlinear delayed differential equations.(English)Zbl 1449.34233

The paper deals with the following nonlinear delay differential system $\dot{y}(t)=\sum_{k=1}^m\beta^k(t)[y(t-\delta_k)-y(t-\tau_k)]^{r_k}.$ It is obtained: criteria guaranteeing the existence of increasing and unbounded solutions, criteria guaranteeing the existence of increasing and convergent solutions, as well as inequalities comparing such solutions with some given increasing functions.

### MSC:

 34K12 Growth, boundedness, comparison of solutions to functional-differential equations 34K25 Asymptotic theory of functional-differential equations