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Singular two point boundary value problems for second order differential equations - MaRDI portal

Singular two point boundary value problems for second order differential equations (Q1206914)

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scientific article; zbMATH DE number 150651
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Singular two point boundary value problems for second order differential equations
scientific article; zbMATH DE number 150651

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    Singular two point boundary value problems for second order differential equations (English)
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    1 April 1993
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    The author proves an existence result for the singular two-point BVP of the form \(a(t,x,x') x''=f(t,x,x')\), \(t \in (c,d]\), \(x(c)=\lambda\), \(x(d)=\mu\) for \(a \in C\) \(([c,d] \times R^ n \times R^ n,R^{n \times n})\) with \(n>1\). The proof is based on a geometric method for systems of second order ODE's without singularities.
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    boundary value problem
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    existence
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    singular two-point BVP
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