Estimation method for solutions to general linear system of Volterra integral inequalities involving iterated integral functionals (Q2721928)
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scientific article; zbMATH DE number 1616969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation method for solutions to general linear system of Volterra integral inequalities involving iterated integral functionals |
scientific article; zbMATH DE number 1616969 |
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11 July 2001
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estimation method
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linear system of integral inequalities involving multiple-fold integral functionals
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nonlinear differential system
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Volterra integral inequalities
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Estimation method for solutions to general linear system of Volterra integral inequalities involving iterated integral functionals (English)
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The authors give an estimation method for solutions to the general form of linear system of integral inequalities containing multiple-fold integral functionals. The given method is based on a result of \textit{E. Yang} [J. Math. Anal. Appl. 103, 184-197 (1984; Zbl 0573.26008)], and because this method is applied equally well to any finite-dimensional case, it is only stated for the 2-dimensional case. Application to a system of nonlinear ordinary differential equations is given.
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