Existence and uniqueness of solutions for a second-order iterative boundary-value problem
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We consider the existence and uniqueness of solutions to the second-order iterative boundary-value problem
x″(t) = ƒ(t, x(t), x(t)), α ≤ t ≤ b,
where x(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.
CitationKaufmann, E. R. (2018). Existence and uniqueness of solutions for a second-order iterative boundary-value problem. Electronic Journal of Differential Equations, 2018(150), pp. 1-6.
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