Sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations with multiple advanced arguments
Files
Date
2018-10-31
Authors
Dix, Julio G.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the existence of non-oscillatory solutions to the equation
x′(t) = ∑mk=1 αk(t)x(hk(t)),
where αk ≥ 0 and hk(t) ≥ t. We generalize existing results and then give an answer to the open question stated in [4]. Moreover we present a new condition based on the integral of (∑αk)2.
Description
Keywords
Advanced linear differential equation, Positive solutions, Oscillatory solution
Citation
Dix, J. G. (2018). Sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations with multiple advanced arguments. <i>Electronic Journal of Differential Equations, 2018</i>(177), pp. 1-9.
Rights
Attribution 4.0 International