The solvability of functional quadratic volterra-urysohn integral equations on the half line

• Autorzy: Metwali M. M. A.

Identyfikatory

DOI

10.1515/fascmath-2018-0021

• Języki publikacji: EN

Abstrakty

EN

We study the solvability of general quadratic Volterra integral equations in the space of Lebesgue integrable functions on the half line. Using the conjunction of the technique of measures of weak noncompactness with modified Schauder fixed point principle we show that the integral equation, under certain conditions, has at least one solution. Moreover, that result generalizes several ones obtained earlier in many research papers and monographs.

Słowa kluczowe

EN

quadratic integral equations integro-differential equations; Schauder fixed point theorem; superposition operator

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 61
• Strony: 109--123
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Metwali M. M. A.

• Department of Mathematics Faculty of Sciences Damanhour University, Egypt

Bibliografia

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• [13] Metwali М., Solvability of functional quadratic integral equations with perturbation, Opuscula Math., 33(2013), 725-739.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).