Abstract
In this paper, we study the existence and uniqueness of mild solutions for second order initial value problems, with nonlocal conditions, by using the Banach fixed point theorem and the theory of strongly continuous cosine family.
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Tidke, H.L., Dhakne, M.B. Global existence of mild solutions of second order nonlinear Volterra integrodifferential equations in Banach spaces. Differ Equ Dyn Syst 17, 331–342 (2009). https://doi.org/10.1007/s12591-009-0024-8
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DOI: https://doi.org/10.1007/s12591-009-0024-8