On the existence of classical solutions for differential-functional IBVP

Krzysztof A. Topolski

Abstract and Applied Analysis, 1998, vol. 3, 1-13

Abstract:

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:769284

DOI: 10.1155/S1085337598000608

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