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

• Autorzy: Milena Matusik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35R10: Partial functional-differential equations
• 35K20: Initial-boundary value problems for second-order parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 3
• Strony: 253-265

Daty

wydano

2012

Twórcy

autor

Milena Matusik

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

Identyfikatory

DOI

10.4064/ap105-3-4