Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence
نویسنده
چکیده
We consider a Cauchy problem for nonlinear parabolic equations with functional dependence. We prove convergence theorems for a general quasilinearization method in two cases: (i) the Hale functional acting only on the unknown function, (ii) including partial derivatives of the unknown function. 2000 Mathematics Subject Classification: 35K10, 35K15, 35R10.
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تاریخ انتشار 2003