Note on a non-oscillation theorem of Atkinson
Files
Date
2004-02-16
Authors
Dube, Samuel G.
Mingarelli, Angelo B.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We present a general non-oscillation criterion for a second order two-term scalar nonlinear differential equation in the spirit of a classic result by Atkinson [1]. The presentation is simpler than most and can serve to unify many such criteria under one common theme that eliminates the need for specfic techniques in each of the classical cases (sublinear, linear, and superlinear). As is to be expected in a result of this kind, the applications are widespread and include, but are not limited to, linear, sublinear, superlinear differential equations as well as some transcendental cases and some possibly mixed cases.
Description
Keywords
Second order differential equations, Nonlinear, Non-oscillation
Citation
Dube, S. G., & Mingarelli, A. B. (2004). Note on a non-oscillation theorem of Atkinson. <i>Electronic Journal of Differential Equations, 2004</i>(22), pp. 1-6.
Rights
Attribution 4.0 International