Dix, Julio G.2022-03-092022-03-092018-10-31Dix, 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. 1-9.1072-6691https://hdl.handle.net/10877/15473This 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalAdvanced linear differential equationPositive solutionsOscillatory solutionArticle