Existence of solutions to second order ordinary differential equations having finite limits at ±∞
Date
2004-02-09
Authors
Avramescu, Cezar
Vladimirescu, Cristian
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Nonlinear boundary-value problems, Set-valued mappings, Boundary-value problems on infinite intervals
Citation
Avramescu, 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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.