A generalization of Osgood's test and a comparison criterion for integral equations with noise

Details A generalization of Osgood's test and a comparison criterion for integral equations with noise A generalization of Osgood's test and a comparison criterion for integral equations with noise

2010-12-08

arxiv.org/abs/1012.1843v1

Mathematics

Probability

10 pages

Scientific paper

In this work, we prove a generalization of Osgood's test for the explosion of
the solutions of initial-value problems. We also establish a comparison
criterion for the solution of integral equations with noise, and provide
estimations of the time of explosion of problems arising in the investigation
of crack failures where the noise is the absolute value of the Brownian motion

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