A general oscillation theorem for self-adjoint differential systems with applications to Sturm-Liouville eigenvalue problems and quadratic functionals期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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A general oscillation theorem for self-adjoint differential systems with applications to Sturm-Liouville eigenvalue problems and quadratic functionals

Authors:

G Baur W Kratz

Institution:

1. Abteilungen Mathematik, Universit?t Ulm, Oberer Eselsberg, D-7900, Ulm, F.R. Germany

Abstract:

For given 2n×2n matricesS ₁₃,S ₂₄ with rank(S ₁₃,S ₂₄)=2n $S_{13} \bar S_{24}^T = S_{24} \bar S_{13}^T$ we consider the eigenvalue problem:u′=A(x)u+B(x)v,v′=C ₁(x;λ)u-A ^T(x)v with

$S_{13} \left( {_{u\left( b \right)}^{ - u\left( a \right)} } \right) + S_{24} \left( {_{\upsilon \left( b \right)}^{\upsilon \left( a \right)} } \right) = 0,{\text{ }}a< b;$

Keywords:
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