Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type

Volume 105 / 2012

Milena Matusik Annales Polonici Mathematici 105 (2012), 253-265 MSC: Primary 35K20; Secondary 35R10. DOI: 10.4064/ap105-3-4


The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.


  • Milena MatusikInstitute of Mathematics
    University of Gdańsk
    Wit Stwosz St. 57
    80-952 Gdańsk, Poland

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