Generalized Hammerstein Equations and Applications

In this paper the authors study the Hammerstein generalized integral equation u(t)=∫₀¹k(t,s) g(s) f(s,u(s),u′(s),…,u^{(m)}(s))ds, where k:[0,1]²→R are kernel functions, m≥1, g:[0,1]→[0,∞), and f:[0,1]×R^{m+1}→[0,∞) is a L^{∞}-Carathéodory function. The existence of solutions of integral equations ha...

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Bibliographic Details
Main Author: Graef, John (author)
Other Authors: Kong, Lingju (author), Minhós, Feliz (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10174/21778
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/21778