一类非线性三阶微分方程两点边值问题变号解的存在性  

Existence of Sign-changing Solutions to Nonlinear Third-order Two-point Boundary Value Problem

作　　者：王玉萍[1] 赵增勤[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2014年第4期29-33,共5页Journal of Qufu Normal University(Natural Science)

摘　　要：利用在格结构下的新不动点定理,研究一类三阶两点边值问题解的存在性.通过结合特征值和代数重数的相关结论,得到所述问题至少存在三个非平凡解:一个正解,一个负解和一个变号解.In this paper,the existence of sign-changing solutions to a nonlinear third-order two-point boundary value problem is researched by applying new fixed point theorems with the lattice structure.By combining the eigenvalues and the algebraic multiplicity,the existence of solutions at least three nontrivial solutions which are a positive solution,a sign-changing solution,and a negative solution is given.

关 键 词：非锥映射 格结构 三阶两点边值问题 变号解 

分 类 号：O175.14[理学—数学]