Geodesic
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Electronic journal of differential equations, Tome 2011 (2011)
In this article, 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.
Classification : 45G10, 45R05, 92F05, 74R10, 74R15
Keywords: osgood's test, comparison criterion, time of explosion, integral equations with noise, crack failure 
@article{EJDE_2011__2011__a65,
     author = {Ceballos-Lira,  Marcos J. and Macias-Diaz,  Jorge E. and Villa,  Jose},
     title = {A generalization of {Osgood's} test and a comparison criterion for integral equations with noise},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1206.45005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a65/}
}
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%J Electronic journal of differential equations
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%F EJDE_2011__2011__a65
Ceballos-Lira,  Marcos J.; Macias-Diaz,  Jorge E.; Villa,  Jose. A generalization of Osgood's test and a comparison criterion for integral equations with noise. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a65/