Existence of positive solutions of some integral equations


We study the existence of positive solutions of the integral equation
x(t) = ∫01k(t,s)f(s,x(s),x'{s),...,x(n-1)(s))dsn≥2
in both Cn-1[0,1] and Wn-1,p[0,1] spaces, where p≥1. The Krasnosielskii fixed point theorem on cone is used.


boundary value problems; positive solutions; Fredholm integral equations; cone; fixed point theorem

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Published : 2004-09-30

LigęzaJ. (2004). Existence of positive solutions of some integral equations. Annales Mathematicae Silesianae, 18, 21-38. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14089

Jan Ligęza 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland

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