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.
Citation
Krzysztof A. Topolski. "On the existence of classical solutions for differential-functional IBVP." Abstr. Appl. Anal. 3 (3-4) 363 - 375, 1998. https://doi.org/10.1155/S1085337598000608
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