Article ID Journal Published Year Pages File Type
840064 Nonlinear Analysis: Theory, Methods & Applications 2014 7 Pages PDF
Abstract

A sufficient and necessary condition for the existence of blow-up solutions of a certain class of nonlinear Volterra integral equations with kernels arising from various diffusion models and with nonlinearities satisfying the condition g(0)=0g(0)=0 is given in the form of the so-called generalized Osgood condition. Such nonlinearities were not permitted in the original articles of Olmstead and Roberts where these diffusion models were introduced.

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