Positive solutions to a semilinear higher-order ODE on the half-line

Gil', Michael I.2021-05-182021-05-182005-03-06Gil', M. I. (2005). Positive solutions to a semilinear higher-order ODE on the half-line. <i>Electronic Journal of Differential Equations, 2005</i>(25), pp. 1-7.1072-6691https://hdl.handle.net/10877/13597We study a semilinear non-autonomous ordinary differential equation (ODE) of order n. Explicit conditions for the existence of n linearly independent and positive solutions on the positive half-line are obtained. Also we establish lower solution estimates.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalOrdinary differential equationsNonlinear equationsPositive solutions on the half-linePositive solutions to a semilinear higher-order ODE on the half-lineArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.