Abstract
Consider the second-order vector differential system (1) x″(t)+Q(t)x(t)=0 and matrix differential system (2) X″(t)+Q(t)X(t)=0, where x(t) is an n-dimensional vector function and X(t) and Q(t) are n×n continuous matrix functions. In this article, we establish the concept that systems (1) and (2) are oscillatory with respect to partial variables. Some sufficient conditions are obtained; several examples are given to illustrate the results
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