Open AccessOn the solvability of some nonlinear functional integral equations on Lp(R+)
Author(s) -
Mahmoud Bousselsal
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2106841b
Subject(s) - mathematics , fixed point theorem , nonlinear system , measure (data warehouse) , point (geometry) , integral equation , pure mathematics , mathematical analysis , calculus (dental) , computer science , medicine , physics , geometry , dentistry , quantum mechanics , database
In this paper, we prove theorems on the existence of solutions in Lp(R+), 1 ? p < ?, for some functional integral equations. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to so called measure of noncompactness. The obtained results generalize and extend several ones obtained earlier in many papers and monographs. An example which shows the applicability of our results is also included.