Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces (Q1092359)
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scientific article; zbMATH DE number 4019708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces |
scientific article; zbMATH DE number 4019708 |
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Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces (English)
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1987
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The authors consider Volterra type integral operators acting in \(L_ 2(T)\), where T is a partially ordered topological space as well as equations and inequalities related to them. For the linear operators of this type it is shown that they are quasinilpotent. Explicit estimates for the solutions of linear integral inequalities are obtained. Nonlinear equations and inequalities are also considered.
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Volterra type integral operators
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partially ordered topological space
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quasinilpotent
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Explicit estimates
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linear integral inequalities
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