ON THE EXISTENCE OF CLASSICAL SOLUTIONS FOR DIFFERENTIAL-FUNCTIONAL IBVP

ON THE EXISTENCE OF CLASSICAL SOLUTIONS FOR DIFFERENTIAL-FUNCTIONAL IBVP

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 cla...

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Veröffentlicht in:Abstract and Applied Analysis 1998-01, Vol.1998 (3-4), p.363-375
1. Verfasser: Topolski, Krzysztof A.
Format: Artikel
Sprache:eng
Schlagworte:
35D05
35K60
35R10
deviated argument
differential-functional equation
Parabolic equation
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/S1085337598000608