Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 247-263.

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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.
DOI : 10.4064/ap90-3-5
Keywords: consider cauchy problem nonlinear parabolic equations functional dependence represented hale functional acting unknown function its gradient prove convergence theorems general quasilinearization method natural subclasses unbounded solutions

Agnieszka Bart/lomiejczyk 1

1 Department of Applied Mathematics Technical University of Gda/nsk Gabriela Narutowicza 11/12 80-952 Gda/nsk, Poland
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Agnieszka Bart/lomiejczyk. Quasilinearization methods for
 nonlinear differential-functional
 parabolic equations: unbounded case. Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 247-263. doi : 10.4064/ap90-3-5. http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-5/

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