Krzysztof A. Topolski, "On the existence of classical solutions for differential-functional IBVP", Abstract and Applied Analysis, vol. 3, Article ID 769284, 13 pages, 1998. https://doi.org/10.1155/S1085337598000608
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 class of parabolic problems both with a deviated argument and integro-differential equations.
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