First-order Differential Equations with Several Deviating Arguments: Sturmian Comparison Method in Oscillation Theory: I
Date
2001-05-31
Authors
Berezansky, Leonid
Domshlak, Yury
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The Sturmian Comparison Method, elaborated previously by one of the authors, is developed and applied to differential equations with several deviating arguments. For two delays, we obtain oscillation criteria that are explicit and close to be necessary. We also present a comparison of our results with those known in the literature.
Description
Keywords
Delay differential equations, Several delays, Oscillation, Non-oscillation, Sturmian comparison method
Citation
Berezansky, L., & Domshlak, Y. (2001). First-order differential equations with several deviating arguments: Sturmian comparison method in oscillation theory: I. <i>Electronic Journal of Differential Equations, 2001</i>(40), pp. 1-19.
Rights
Attribution 4.0 International