Kaufmann, Eric R.2022-02-222022-02-222018-08-08Kaufmann, E. R. (2018). Existence and uniqueness of solutions for a second-order iterative boundary-value problem. <i>Electronic Journal of Differential Equations, 2018</i>(150), pp. 1-6.1072-6691https://hdl.handle.net/10877/15399We consider the existence and uniqueness of solutions to the second-order iterative boundary-value problem x″(t) = ƒ(t, x(t), x[2](t)), α ≤ t ≤ b, where x[2](t) = x(x(t)), with solutions satisfying one of the boundary conditions x(α) = α, x(b) = b or x(α) = b, x(b) = α. The main tool employed to establish our results is the Schauder fixed point theorem.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalIterative differential equationSchauder fixed point theoremContraction mapping principleArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.