Existence results and numerical solution of fully fourth order nonlinear functional differential equations

In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it.
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Existence results and numerical solution of fully fourth order nonlinear functional differential equations