SHORT NOTE ON OSCILLATION OF MATRIX HAMILTONIAN SYSTEMS
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概要
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"In this paper we present oscillation criteria in terms of the coefficients continuous functions for the matrix linear system ＄U^{￥prime}=A(x)U+B(x)V,＄ ＄V^{￥prime}=C(x)U+(￥mu I-A^{*}(x))V＄ under the hypothesis ＄H:A(x),＄ ＄B(x)=B^{*}(x),＄ ＄B(x)＄ is either positive or negative definite, and ＄C(x)=C^{*}(x)＄ are ＄n￥times n＄ matrices of real valued continuous functions on the interval ＄ J=[a, ￥infty＄ ). These criteria generalize earlier results due to Sowjanyas and Umamaheswaram for the above system under more restricting conditions ＄H_{1}＄ : ＄A(x),＄ ＄B(x)=B^{*}(x),＄ ＄B(x)＄ is positive definite, ＄C(x)=C^{*}(x)＄ and ＄￥mu=0＄ , (i.e Hamiltonian system)."
- Yokohama City University and Yokohama National Universityの論文
- 2003-00-00
Yokohama City University and Yokohama National University | 論文
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