Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
Agnieszka Bartłomiejczyk ; Henryk Leszczyński
Annales Polonici Mathematici, Tome 111 (2014), p. 309-326 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280826 
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     author = {Agnieszka Bart\l omiejczyk and Henryk Leszczy\'nski},
     title = {Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {309-326},
     zbl = {1322.35154},
     language = {en},
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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) pp. 309-326. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-7/