Existence of solutions to second order ordinary differential equations having finite limits at ±∞

Avramescu, CezarVladimirescu, Cristian2021-04-052021-04-052004-02-09Avramescu, C., & Vladimirescu, C. (2004). Existence of solutions to second order ordinary differential equations having finite limits at ±∞. <i>Electronic Journal of Differential Equations, 2004</i>(18), pp. 1-12.1072-6691https://hdl.handle.net/10877/13337In this article, we study the boundary-value problem ẍ = ƒ(t, x, ẋ), x(-∞) = x(+∞), ẋ(-∞) = ∞(+∞). Under adequate hypotheses and using the Bohnenblust-Karlin fixed point theorem for multivalued mappings, we establish the existence of solutions.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear boundary-value problemsSet-valued mappingsBoundary-value problems on infinite intervalsExistence of solutions to second order ordinary differential equations having finite limits at ±∞ArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.