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A survey on the oscillation of differential equations with several deviating arguments

Research paper by Ioannis P Stavroulakis

Indexed on: 16 Oct '14Published on: 16 Oct '14Published in: Journal of Inequalities and Applications



Abstract

Consider the first-order linear differential equation with several retarded argumentswhere the functions pi,τi∈C([t0,∞),R+) for every i=1,2,…,m, τi(t)≤t for t≥t0 and limt→∞τi(t)=∞. A survey on the oscillation of all solutions to this equation is presented in the case of several non-monotone arguments and especially when well-known oscillation conditions are not satisfied. Examples illustrating the results are given.MSC:34K11, 34K06.