【摘要】 研究了奇异二阶微分系统离散周期边值问题的多重正解的存在性,证明了在适当的条件下这个问题至少存在两个正解.其一的存在性通过运用非线性Leray-Schauder抉择定理得到;其二的存在性通过Krasnoselskiz锥不动点定理得到.更多还原

【Abstract】 This paper is devoted to establish the multiplicity of positive solutions to second-order singular discrete periodic boundary value problems of dierential systems.It is proved that such a problem has at least two positive solutions under this reasonable conditions.The existence of the first solution is obtained by using a nonlinear alternative of Leray-Schauder,and the second one is found by using a Krasnoselskii fixed point theorem in cones.更多还原