Open AccessOn solutions of some delay Volterra integral problems on a half-line
Author(s) -
Mohamed M. A. Metwali,
Kinga Cichoń
Publication year - 2021
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2021.26.24149
Subject(s) - integrable system , mathematics , monotonic function , uniqueness , interval (graph theory) , lebesgue integration , integer (computer science) , real line , space (punctuation) , volterra integral equation , mathematical analysis , square integrable function , line integral , integral equation , pure mathematics , combinatorics , computer science , programming language , operating system
In this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally integrable functions L1loc (R+). In particular, the uniqueness of solutions for considered problems is obtained.