Chai, Guoqing Initial value problems for nonlinear second-order impulsive integro-differential equations in Banach space. (Chinese. English summary) Zbl 0962.34045 Acta Math. Sci. (Chin. Ed.) 20, No. 3, 351-359 (2000). Summary: By introducing an equivalent norm and by applying the Banach fixed-point theorem under simple conditions, the author obtains existence and uniqueness and iterative approximation to solutions for initial value problems for nonlinear second-order impulsive integro-differential equations in a Banach space. Cited in 1 Document MSC: 34G20 Nonlinear differential equations in abstract spaces 45J05 Integro-ordinary differential equations Keywords:initial value problems; nonlinear second-order impulsive integro-differential equations; existence; uniqueness; solutions PDFBibTeX XMLCite \textit{G. Chai}, Acta Math. Sci. (Chin. Ed.) 20, No. 3, 351--359 (2000; Zbl 0962.34045)