Approximate solutions, based on comparison theorems, of scalar and matrix Riccati equations on an infinite interval (Q1309054)
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scientific article; zbMATH DE number 468693
| Language | Label | Description | Also known as |
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| English | Approximate solutions, based on comparison theorems, of scalar and matrix Riccati equations on an infinite interval |
scientific article; zbMATH DE number 468693 |
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Approximate solutions, based on comparison theorems, of scalar and matrix Riccati equations on an infinite interval (English)
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3 February 1994
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The approximate transfer of the boundedness condition of the solution from an irregular singular point (infinity) for scalar and vector second- order linear differential equations is investigated. Error estimations for equations with polynomial coefficients are given and, using the proved comparison theorems, the class of considered differential equations is widely extended. Two real-life examples (quantum physics, electrical network) show to which value \(x_ \infty\) the boundedness condition has to be transferred to fulfil a given accuracy.
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matrix Riccati equations
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infinite interval
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error estimations
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boundedness condition
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irregular singular point
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second-order linear differential equations
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polynomial coefficients
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