Differential Equations with Several Deviating Arguments: Sturmian Comparison Method in Oscillation Theory, II
Southwest Texas State University, Department of Mathematics
We study the oscillation of solutions to the differential equation ẋ(t) + α1(t)x[r(t)] + α2(t)x[p(t)] = 0, t ≥ t0 which has a retarded argument r(t) and an advanced argument p(t). We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results.
Mixed differential equations, Oscillation, non-oscillation, Sturmian comparison method
Berezansky, L., & Domshlak, Y. (2002). Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II. <i>Electronic Journal of Differential Equations, 2002</i>(31), pp. 1-18.