On existence of solutions of a quadratic Urysohn integral equation on an unbounded interval

• Autorzy: Olszowy, L.
• Języki publikacji: EN

Abstrakty

EN

We show that [formula] is a measure of noncompactness defined on some subsets of the space C(R+) = {x : R+ !R, x continuous} furnished with the distance defined by the family of seminorms |x|n. Moreover, using a technique associated with the measures of noncompactness, we prove the existence of solutions of a quadratic Urysohn integral equation on an unbounded interval. This measure allows to obtain theorems on the existence of solutions of a integral equations on an unbounded interval under a weaker assumptions then the assumptions of theorems obtained by applying two-component measures of noncompactness.

Słowa kluczowe

EN

quadratic Urysohn integral; measure of noncompactness; Tichonov fixed point theorem

• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 1
• Strony: 103-112
• Opis fizyczny: bibliogr. 17 poz.

Twórcy

autor

Olszowy, L.

• Department of Mathematics, Rzeszow University of Technology, 35-959 Rzeszów, W. Pola 2, Poland,

Bibliografia

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