Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
Agnieszka Bartłomiejczyk (2007)
Annales Polonici Mathematici
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We consider the Cauchy problem for nonlinear parabolic equations with functional dependence represented by the Hale functional acting on the unknown function and its gradient. We prove convergence theorems for a general quasilinearization method in natural subclasses of unbounded solutions.