Lu, Huiqin; Liu, Lishan Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces and applications. (Chinese. English summary) Zbl 0962.45009 Acta Math. Sci. (Chin. Ed.) 20, No. 1, 101-108 (2000). The authors show some existence theorems of global solutions for the nonlinear impulsive Volterra integral equations in Banach spaces by using the comparison result and the fixed-point theorem. The paper is a continuation of the articles by D. Guo [J. Appl. Math. Stochastic Anal. 6, No. 1, 35-48 (1993; Zbl 0770.45012)] and F. Chen [Appl. Math., Ser. B (Engl. Ed.) 12, No. 3, 299-306 (1997; Zbl 0913.45004)]. Reviewer: Hu Chuangan (Tianjin) Cited in 2 Documents MSC: 45N05 Abstract integral equations, integral equations in abstract spaces 45J05 Integro-ordinary differential equations 45G10 Other nonlinear integral equations 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces Keywords:ordered Banach space; measure of noncompactness; nonlinear impulsive Volterra integral equations; cone Citations:Zbl 0770.45012; Zbl 0913.45004 PDFBibTeX XMLCite \textit{H. Lu} and \textit{L. Liu}, Acta Math. Sci. (Chin. Ed.) 20, No. 1, 101--108 (2000; Zbl 0962.45009)