Sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations with multiple advanced arguments

This article concerns the existence of non-oscillatory solutions to the equation $$ x'(t)=\sum_{k=1}^m a_k(t) x(h_k(t)), $$ where $a_k\geq 0$ and $h_k(t)\geq t$. We generalize existing results and then give an answer to the open question stated in [4]. Moreover we present a new condition...

Full description

Bibliographic Details
Main Author: Julio G. Dix
Format: Article
Language:English
Published: Texas State University 2018-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/177/abstr.html