简介:Inthispaper,weestablisharesultofLeray-Schauderdegreeontheorderintervalwhichisinducedbyapairofstrictloweranduppersolutionsforasystemofsecond-orderordinarydifferentialequations.Asapplications,weprovetheglobalexistenceofpositivesolutionsforamulti-parametersystemofsecond-orderordinarydifferentialequationswithrespecttoparameters.ThediscussionisbasedontheresultofLeraySchauderdegreeontheorderintervalandthefixedpointindextheoryincones.