Displaying similar documents to “Elliptic equations with decreasing nonlinearity I: barrier method for decreasing solutions”

Functional differential equations

Tadeusz Jankowski (2002)

Czechoslovak Mathematical Journal

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The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.