2025-04-01https://repository.covenantuniversity.edu.ng/handle/123456789/42021In this paper, we establish existence of solutions for the following boundary value problem on the half-line: (q(t)u�� (t)) � = g(t, u(t), u� (t), u�� (t)), t ∈ (0,∞) subject to the boundary conditions u� (0) = �m i=1 αi � ξi 0 u(t)dt, u(0) = 0, limt→∞ q(t)u�� (t) = 0. We establish sufficient conditions for the existence of at least one solution using coincidence degree arguments. An example is provided to validate our result.application/pdfQ Science (General), QA MathematicsArticle