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Zbl 1113.45015
Chandrasekaran, Mariappan
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces. (English)
[J] Electron. J. Differ. Equ. 2007, Paper No. 33, 6 p., electronic only (2007). ISSN 1072-6691/e

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.
MSC 2000:
*45N05 Integral equations in abstract spaces
45G10 Nonsingular 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

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