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Existence of solutions with an exponential growth for nonlinear differential-functional parabolic equations

Abstract

We consider the Cauchy problem for nonlinear parabolic equations with functional dependence.We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
Annales Polonici Mathematici no. 111, pages 309 - 326,
ISSN: 0066-2216
Language:
English
Publication year:
2014
Bibliographic description:
Bartłomiejczyk A., Leszczyński H.: Existence of solutions with an exponential growth for nonlinear differential-functional parabolic equations// Annales Polonici Mathematici. -Vol. 111, nr. 3 (2014), s.309-326
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Gdańsk University of Technology

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