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-dimensionalvector function and X(t) and Q(t) aren · 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 toillustrate the results.
- Oscillation with respect to partial variable
- Prepared solutions
- Second-order differential systems
ASJC Scopus subject areas
- Applied Mathematics