Zhu, Tao; Song, Chao; Li, Gang Existence of mild solutions for nonlocal integro-differential equations in Banach spaces. (English) Zbl 1266.34103 Adv. Differ. Equ. Control Process. 10, No. 1, 57-67 (2012). Using the Hausdorff measure of noncompactness and a fixed point argument, the authors establish the existence of mild solutions to certain semilinear nonlocal initial value problems in Banach spaces. Reviewer: Simeon Reich (Haifa) MSC: 34G20 Nonlinear differential equations in abstract spaces 47D06 One-parameter semigroups and linear evolution equations 47N20 Applications of operator theory to differential and integral equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations Keywords:fixed point; Hausdorff measure of noncompactness; mild solution; nonlocal initial value problem PDFBibTeX XMLCite \textit{T. Zhu} et al., Adv. Differ. Equ. Control Process. 10, No. 1, 57--67 (2012; Zbl 1266.34103) Full Text: Link