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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.
Authors (2)
-
Henryk Leszczyński
- Uniwersytet Gdańsk, Wydział Matematyki, Fizyki i Informatyki i Zakład Metod Numerycznych i Równań Różniczkowych
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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
- Verified by:
- Gdańsk University of Technology
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