Gronwall-Bellman-Bihari integral inequalities and application to nonlinear Volterra integral equation (Q2569291)
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| Language | Label | Description | Also known as |
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| English | Gronwall-Bellman-Bihari integral inequalities and application to nonlinear Volterra integral equation |
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Gronwall-Bellman-Bihari integral inequalities and application to nonlinear Volterra integral equation (English)
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18 October 2005
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The author obtains explicit bounds on inequalities of the form \[ y(x) \leq f(x)+g(x) \int_0^x h(s) \phi(y(s))ds,\quad x > 0, \] in several independent variables, under some suitable conditions on the functions involved therein.
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Gronwall-Bellman-Bihari inequality
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