期刊名称：International Journal of Differential Equations and Applications
印刷版ISSN：1311-2872
出版年度：2005
卷号：10
期号：3
DOI：10.12732/ijdea.v10i3.181
语种：English
出版社：International Journal of Differential Equations and Applications
摘要：By means of Riccati transformation technique and averaging method, intervaloscillation theorems are established for linear matrix self-adjointHamiltonian system\[\left\{\begin{array}{c}U^{\prime }(x)=A(x)U(x)+B(x)V(x), \\[8pt]V^{\prime }(x)=C(x)U(x)-A^{*}(x)V(x),\end{array}\right.\]that are different from most known ones in the sense that properties of $A,B$and $C$ are only needed on a sequence of subintervals of $[x_(,\infty )$,rather than on the whole half-line. Examples that dwell upon the importanceof our results are also included.
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