Geodesic
Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
Agnieszka Bartłomiejczyk1 ; Henryk Leszczyński2
1Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 309-326
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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.
DOI : 10.4064/ap111-3-7
Keywords: consider cauchy problem nonlinear parabolic equations functional dependence prove schauder type existence results unbounded solutions prove existence maximal solutions wide class differential functional equations

Agnieszka Bartłomiejczyk  1   ; Henryk Leszczyński  2

1 Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
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     title = {Existence of solutions with exponential growth
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Agnieszka Bartłomiejczyk; Henryk Leszczyński. Existence of solutions with exponential growth
 for nonlinear differential-functional parabolic equations. Annales Polonici Mathematici, Tome 111 (2014) no. 3, pp. 309-326. doi: 10.4064/ap111-3-7

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