Chandrasekaran, Mariappan Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces. (English) Zbl 1113.45015 Electron. J. Differ. Equ. 2007, Paper No. 33, 6 p. (2007). Summary: The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroups and the Schaefer theorem. Cited in 4 Documents MSC: 45N05 Abstract integral equations, integral equations in abstract spaces 45G10 Other nonlinear integral equations 47H20 Semigroups of nonlinear operators 45J05 Integro-ordinary differential equations Keywords:mild solutions; nonlinear integro-differential equation; Schaefer theorem; Banach space; abstract integro-differential equation; nonlocal Cauchy problem; method of semigroups PDFBibTeX XMLCite \textit{M. Chandrasekaran}, Electron. J. Differ. Equ. 2007, Paper No. 33, 6 p. (2007; Zbl 1113.45015) Full Text: EuDML EMIS