Oscillation with respect to partial variables of linear second-order differential systems

Zongqi Deng, Shigui Ruan

Research output: Contribution to journalArticlepeer-review

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-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.

Original languageEnglish (US)
Pages (from-to)777-783
Number of pages7
JournalProceedings of the American Mathematical Society
Volume113
Issue number3
DOIs
StatePublished - Nov 1991

Keywords

  • Oscillation with respect to partial variable
  • Prepared solutions
  • Second-order differential systems

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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