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On the existence of classical solutions for differential‐functional IBVP

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  • Krzysztof A. Topolski

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.

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Handle: RePEc:wly:jnlaaa:v:3:y:1998:i:3-4:p:363-375
DOI: 10.1155/S1085337598000608
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