On the classical solutions for parabolic differential - functional Cauchy problem

• Autorzy: Topolski K. A.
• Języki publikacji: EN

Abstrakty

EN

We consider the initial value problem for second order differential - functional parabolic equation. Functional dependence is of the Hale type. On the basis of differential inequalities and fixed point method we prove the existence theorem for classical solution. Our formulation covers a large group of nonlocal problems such as , integro-differential equations, and "retarded and deviated" argument. We put particular stress on the last one, as it requires more general treatment.

Słowa kluczowe

EN

parabolic equation; Cauchy problem; differential-functional equation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 2
• Strony: 217--226
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Topolski K. A.

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

Bibliografia

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