Functional differential equations. (English) Zbl 1023.34070

Summary: The method of quasilinearization is a well-known technique for obtaining approximate solutions to nonlinear differential equations. Here, the author applies this technique to functional-differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.


34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
34K05 General theory of functional-differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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