Abstract
Following the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of an integral equation with supremum. The paper ends with the study of Gronwall-type theorems, comparison theorems and a result regarding a Ulam–Hyers stability result for the corresponding fixed point problem.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference16 articles.
1. Automatic Regulation and Control;Popov,1966
2. Differential Equations with Maxima;Bainov,2011
3. Hybrid differential equations with maxima via Picard operators theory;Otrocol;Stud. Univ. Babeş-Bolyai Math.,2016
4. Functional-differential equations with “maxima” via weakly Picard operators theory;Otrocol;Bull. Math. Soc. Sci. Math. Roum.,2008
5. The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w-distances
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