A system of Volterra integral equations with blowing up solutions (Q2833656)
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scientific article; zbMATH DE number 6654813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A system of Volterra integral equations with blowing up solutions |
scientific article; zbMATH DE number 6654813 |
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A system of Volterra integral equations with blowing up solutions (English)
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18 November 2016
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systems of nonlinear Volterra integral equations
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nontrivial solutions
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blowing up solution
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positive solution
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combustion processes
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monotonicity methods
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The author studies a system of nonlinear Volterra integral equations arising in the modeling of combustion processes. The main results are the existence of a unique nontrivial (positive) solution (Theorem 2.1), and respectively, the existence of a blowing up solution (Theorem 2.2). The approach involves the use of monotonicity methods.
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