On the existence of continuous positive monotonic solutions of a self-reference quadratic integral equation

• Autorzy: El-Sayed Ahmed M.A. , Ebead Hanaa R.

Identyfikatory

DOI

10.7862/rf.2020.4

• Języki publikacji: EN

Abstrakty

EN

In this work we study the existence of positive monotonic solutions of a self-reference quadratic integral equation in the class of continuous real valued functions. The continuous dependence of the uniquesolution will be proved. Some examples will be given.

Słowa kluczowe

EN

self-reference; quadratic integral equation; existence of solutions; uniqueness of solution; continuous dependence; Schauder fixed point theorem

PL

samoodniesienie; równanie całkowe; rozwiązania; istnienie rozwiązań; niepowtarzalność rozwiązania; zależność ciągła; punkt stały Schaudera; twierdzenie o punkcie stałym; twierdzenie Schaudera o punkcie stałym

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2020
• Tom: Vol. 43
• Strony: 67--80
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

El-Sayed Ahmed M.A.

• Faculty of Science, Alexandria, University Alexandria, Egypt

autor

Ebead Hanaa R.

• Faculty of Science, Alexandria, University Alexandria, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).