Differential Equations with Several Deviating Arguments: Sturmian Comparison Method in Oscillation Theory, II
Date
2002-04-01
Authors
Berezansky, Leonid
Domshlak, Yury
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Mixed differential equations, Oscillation, non-oscillation, Sturmian comparison method
Citation
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.