Yan, Zuomao Existence for a nonlinear impulsive functional integrodifferential equation with nonlocal conditions in Banach spaces. (English) Zbl 1235.34204 J. Appl. Math. Inform. 29, No. 3-4, 681-696 (2011). Summary: We consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer’s fixed point theorem combined with an evolution system. An example is also given to illustrate our result. Cited in 2 Documents MSC: 34K30 Functional-differential equations in abstract spaces 34K45 Functional-differential equations with impulses 34K10 Boundary value problems for functional-differential equations 47N20 Applications of operator theory to differential and integral equations Keywords:nonlinear impulsive functional integro differential equations; fixed point; linear evolution system; nonlocal conditions PDFBibTeX XMLCite \textit{Z. Yan}, J. Appl. Math. Inform. 29, No. 3--4, 681--696 (2011; Zbl 1235.34204)