On some generalized Volterra condition and advanced argument for integral equations

• Autorzy: Augustynowicz A.
• Języki publikacji: EN

Abstrakty

EN

We study the existence and uniqueness problem for wide class of nonlinear integral functional equations with an unknown function of several variables. We assume that the right-hand side of the equation satisfies some generalization of the Volterra condition that, in some cases, admits an advanced argument at an unknown function. The result is illustrated for some Darboux problem.

Słowa kluczowe

EN

Volterra condition; integral functional equation; existence and uniqueness; advanced argument; Bielecki method

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2000
• Tom: [Z] 40
• Strony: 7--17
• Opis fizyczny: bibliogr. 4 poz.

Twórcy

autor

Augustynowicz A.

• Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland,