Oscillation criterion for first-order linear differential equations with several delay arguments

Abstract

By using iterated estimates involving all delay arguments, we establish an oscillation criterion for first-order linear differential equations with several delay arguments. This criterion is focused on the interaction among the delay arguments, instead of converting the original equation into a single delay equation and using existing results. Several examples illustrate the results obtained. Keywords: Differential equation, Oscillation, Multiple delay arguments, Mathematics Subject Classification: 34k11, 34C10