On the existence of classical solutions for differential-functional IBVP
Topolski, Krzysztof A.
Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, p. 363-375 / Harvested from Project Euclid
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We consider the initial-boundary value problem for second order differential-functional equations of parabolic type. Functional dependence in the equation is of the Hale type. By using Leray-Schauder theorem we prove the existence of classical solutions. Our formulation and results cover a large class of parabolic problems both with a deviated argument and integro-differential equations.
Publié le : 1998-05-14
Classification:  Parabolic equation,  differential-functional equation,  deviated argument,  35D05,  35K60,  35R10 
@article{1049832731,
     author = {Topolski, Krzysztof A.},
     title = {On the existence of classical solutions for differential-functional IBVP},
     journal = {Abstr. Appl. Anal.},
     volume = {3},
     number = {1-2},
     year = {1998},
     pages = { 363-375},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049832731}
}

Topolski, Krzysztof A. On the existence of classical solutions for differential-functional IBVP. Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, pp.  363-375. http://gdmltest.u-ga.fr/item/1049832731/