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Analysis of blow-up behavior of solutions to CVIEs

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Huiming Song, Zhanwen Yang & Yu Xiao

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  1. Huiming Song
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  2. Zhanwen Yang
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  3. Yu Xiao
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Correspondence to Zhanwen Yang.

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Communicated by Hui Liang.

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Song, H., Yang, Z. & Xiao, Y. Analysis of blow-up behavior of solutions to CVIEs. Comp. Appl. Math. 40, 136 (2021). https://doi.org/10.1007/s40314-021-01520-8

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  • DOI: https://doi.org/10.1007/s40314-021-01520-8

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