On the condition of singular boundary value problems (Q1119355)

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scientific article; zbMATH DE number 4098654
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On the condition of singular boundary value problems
scientific article; zbMATH DE number 4098654

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    On the condition of singular boundary value problems (English)
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    1989
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    Bounds are derived for the solution to the boundary value problem (BVP) \(y''(t)-a_ 1y'(t)/t-a_ 0y(t)/t^ 2=f(t)\), \(0<t\leq 1\); \(a_{i0}y(0)+a_{i1}y'(0)+b_{i0}y(1)+b_{i1}y'(1)=c_ i\); \(i=1,2\), where \(a_ 0,a_ 1,a_{ij},b_{ij},c_ i\) are constants. The stability of a finite difference scheme for solving the BVP is also studied.
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    condition
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    singular boundary value problems
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    finite difference scheme
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