Marcos J. Ceballos-Lira, Jorge E. Macias-Diaz, Jose Villa
Abstract:
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.
Submitted December 7, 2010. Published January 12, 2011.
Math Subject Classifications: 45G10, 45R05, 92F05, 74R10, 74R15.
Key Words: Osgood's test; comparison criterion; time of explosion;
integral equations with noise; crack failure.
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Marcos Josias Ceballos-Lira División Académica de Ciencias Básicas Universidad Juárez Autónoma de Tabasco Km. 1 Carretera Cunduacán-Jalpa de Méndez Cunduacán, Tab. 86690, Mexico email: marjocel_81@hotmail.com | |
Jorge Eduardo Macías-Díaz Departamento de Matemáticas y Física Universidad Autónoma de Aguascalientes Avenida Universidad 940, Ciudad Universitaria Aguascalientes, Ags. 20131, Mexico email: jemacias@correo.uaa.mx | |
José Villa Morales Departamento de Matemáticas y Física Universidad Autónoma de Aguascalientes Avenida Universidad 940, Ciudad Universitaria Aguascalientes, Ags. 20131, Mexico email: jvilla@correo.uaa.mx |
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