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- W2077996967 abstract "In this paper, we consider the blow-up behavior of Hammerstein-type Volterra integral equations. Based on several fundamental assumptions, some necessary and sufficient conditions under which the solution blows up in finite time are given. Some examples illustrate that there may always exist a global solution for a power-law function and that the blow-up behavior only depends on the value of the kernel in a neighborhood of zero. As an application, we give some results on the blow-up behavior of Volterra integro-differential equation of Hammersteintype. 2010 Mathematics Subject Classification. Primary: 45D05, 45G10." @default.
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- W2077996967 date "2012-12-01" @default.
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- W2077996967 title "Blow-up behavior of Hammerstein-type Volterra integral equations" @default.
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- W2077996967 doi "https://doi.org/10.1216/jie-2012-24-4-487" @default.
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