Oscillation criterions of a class of linear delay differential equations with piecewise constant arguments
This paper deals with a class of linear delay differential equations with piecewise arguments.In the cases of slowly varying coefficients,some sufficient conditions are obtained to conclude the oscillation of all solutions for the related equations by employing Bolzano-Weierstrass theorem.These results improve the lower limit type criteria in the existing literature to the upper limit type criteria,and then the oscillation of some equations that can not be concluded before can be concluded.Two examples are given to illustrate the effectiveness of the established results.
linear delay differential equationpiecewise constant argumentoscillation