On an abstract nonlinear functional second order Volterra integrodifferential equation
DOI:
https://doi.org/10.23755/rm.v51i0.1252Keywords:
Volterra integro-differential equations, Cosine family, Modified version of Banach contraction mapping principle, Pachpatte's integral inequalityAbstract
In this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The theory of strongly continuous cosine family, modified version of Banach contraction mapping principle and Pachpatte’s integral inequality are main techniques employed in our analysisReferences
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