On the weighted boundary value problem for systems of degenerate ordinary differential equations (Q2810001)
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scientific article; zbMATH DE number 6587697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the weighted boundary value problem for systems of degenerate ordinary differential equations |
scientific article; zbMATH DE number 6587697 |
Statements
30 May 2016
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systems of the ordinary differential equations
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irregular singularity
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weighted boundary value problems
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0.9211741
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0.92035925
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0.9168557
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0.9129462
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On the weighted boundary value problem for systems of degenerate ordinary differential equations (English)
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Consider the system of linear differential equations NEWLINE\[NEWLINEx^{2\alpha} {dy\over dx}= Ay\tag{\(*\)}NEWLINE\]NEWLINE for \(\alpha>1\) and under the condition that the number of linearly independent eigenvectors of the \(n\times n\)-matrix \(A\) is less than \(n\). The authors formulate a boundary value problem for \((*)\) with boundary conditions at \(x=1\) and a weighted boundary condition at the irregular singularity \(x=0\). They derive conditions for the existence of a unique solution.
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