文献类型：期刊文献

英文题名：On Positive Periodic Solutions to Nonlinear Fifth-Order Differential Equations with Six Parameters

作者：Wang, Yunhai Wang, Fanglei

第一作者：王云海

通信作者：Wang, YH[1]

机构：[1]Guizhou Inst Technol, Coll Mech Engn, Guiyang 550003, Peoples R China;[2]Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

第一机构：贵州理工学院机械工程学院

通信机构：corresponding author), Guizhou Inst Technol, Coll Mech Engn, Guiyang 550003, Peoples R China.|贵州理工学院机械工程学院;贵州理工学院;

年份：2016

卷号：2016

外文期刊名：JOURNAL OF FUNCTION SPACES

收录：;Scopus(收录号：2-s2.0-84962867044);WOS:【SCI-EXPANDED(收录号:WOS:000373150700001)】；

基金：The first author is supported by Doctoral Scientific Research Foundation of Guizhou Province, The Joint Science and Technology FundQKH[2014, 7366]. The second author is supported by by NSF of China (no. 11501165), NSF of Jiangsu Province (no. BK20130825), and the Fundamental Research Funds for the Central Universities.

语种：英文

摘要：We study the existence and multiplicity of positive periodic solutions to the nonlinear differential equation: u((5))(l) + ku((4))(l)-beta u((3)) - xi u ''(t) + alpha u'(t) + omega u(t) = lambda h(t) f (u), in 0 <= t <= 1, u(1)(0) = u(1)(1), i = 0, 1, 2, 3, 4, where k, alpha, omega, lambda > 0, beta, xi is an element of R, h is an element of C(R,R) is a 1-periodic function. The proof is based on the Krasnoselskii fixed point theorem.