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• W2341107582 abstract "A new numerical method for initial value problems associated to second order func- tional dierential equations is obtained. The method uses the fixed point technique, the trapezoidal quadrature rule, and a Birkho interpolation procedure. The convergence of the method is proved without smoothness conditions, the kernel function being only Lipschitzian in each argument. The interpolation procedure is used only on the points where the argument is modified. A stopping cri- terion of the algorithm is obtained and the accurancy of the method is illustrated on some numerical examples of pantograph type." @default.
• W2341107582 created "2016-06-24" @default.
• W2341107582 creator A5067906460 @default.
• W2341107582 date "2013-01-01" @default.
• W2341107582 modified "2023-09-27" @default.
• W2341107582 title "THE METHOD OF SUCCESSIVE INTERPOLATIONS SOLVING INITIAL VALUE PROBLEMS FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS" @default.
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