Oscillation criteria for differential equations with several retarded arguments

Consider the first-order linear differential equation with several retarded arguments $x^{\prime}(t)+\sum\limits_{i=1}^{m}p_{i}(t)x(τ_{i}(t))=0,\;\;\;t\geq t_{0},$ where the functions $p_{i},τ_{i}\in C([t_{0,}\infty),\mathbb{R}^{+}),$ for every $i=1,2,\ldots,m,$ $τ_{i}(t)\leq t$ \ for $t\geq t_{0}$ and $$. The state of the art on the oscillation of all solutions to these equations are established especially in the case of non-monotone arguments. Examples illustrating the results are given.

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