Analysis of blow-up behavior of solutions to CVIEs

In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs). Following the framework in Brunner and Yang (J Integral Equations Appl 3:806–830, 2012), the necessary and sufficient conditions for the blow-up behavior of increasing solutions is investigated. Finally, the results are extended to fluctuating solutions with a reversal comparison theorem.