Oscillation for second-order differential equations with delay
Date
2018-04-24
Authors
Baculikova, Blanka
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We establishing monotonic properties of non-oscillatory solutions, and oscillation criteria for the second-order delay differential equation
y″(t) + p(t)y(τ(t)) = 0.
The criteria obtained fulfil the gap in the oscillation theory and essentially improves the earlier ones. The progress is illustrated via Euler's differential equation. Moreover, we provide upper and lower bounds for the non-oscillatory solutions.
Description
Keywords
Second order differential equation, Delay argument, Oscillation, Monotonic properties
Citation
Baculikova, B. (2018). Oscillation for second-order differential equations with delay. <i>Electronic Journal of Differential Equations, 2018</i>(96), pp. 1-9.
Rights
Attribution 4.0 International