On constructive investigation of a class of non-linear boundary value problems for functional differential equations

We consider a two-point boundary value problem for a non-linear system of functional differential equations, for which a scheme of efficient investigation using certain iteration process is constructed. A new convergence condition is established in the case where a certain additional property of the Lipschitz operator is present, which may lead one to weaker assumptions.

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Author(s)

Ronto, A., Ronto, M.