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Oscillation and non-oscillation results for integral equations of Volterra-type are scant and only a few references exist on this subject. To the best of our knowledge, there appear to be no such results on asymptotic behavior of nonoscillatory solutions of equations (1.1). Therefore; the main goal of this paper is to establish some new criteria for the asymptotic behavior of non-oscillatory solutions of equation (1.1) and other related equations. Also we provide some numerical examples to illustrate the obtained results when T=R.
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