On an operator functional equation in L1 [0, ∞) and Volterra-Fredholm type integral equations

• Autorzy: El-Sayed A. M. A. , Sherif N. , El-Farag I. A.
• Języki publikacji: EN

Abstrakty

EN

The existence of a solution of a nonlinear operator functional equation in the class of monotonic functions on the interval R+ = [0, oo) is investigated. The approach to establish the main result is based on the notion of measure of noncompactness and an associated fixed point theorem due to Darbo. A Volterra-Fredholm type integral equation arises as a particular case of the investigated nonlinear operator functional equation.

Słowa kluczowe

EN

operator functional equation; mixed type equation; measures of noncompactness; fixed point theorem

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(1)
• Strony: 61--76
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

El-Sayed A. M. A.

• Faculty of Science, Alexandria University, Alexandria, Egypt

autor

Sherif N.

• Faculty of Science, Suez Canal University, Ismailia, Egypt

autor

El-Farag I. A.

• Faculty of Science, Suez Canal University, Ismailia, Egypt

Bibliografia

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