Existence of solutions to second order ordinary differential equations having finite limits at ±∞
Southwest Texas State University, Department of Mathematics
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.
Nonlinear boundary-value problems, Set-valued mappings, Boundary-value problems on infinite intervals
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.