Generalized solutions of first order partial differential functional inequalities

• Autorzy: Czernous W.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.

Słowa kluczowe

EN

initial boundary value problems; partial functional differential inequalities; Carathéodory solutions; uniqueness; bicharacteristics

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 1
• Strony: 25--36
• Opis fizyczny: bibliogr. 13 poz.

Twórcy

autor

Czernous W.

• Gdansk University of Technology, Department of Differential Equations ul. G. Narutowicza, 80-952 Gdańsk, Poland,

Bibliografia

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