Nontrivial solutions for higher-order m-point boundary value problem with a sign-changing nonlinear term

作者：Liu, Lishan^*; Liu, Bingmei; Wu, Yonghong

来源：Applied Mathematics and Computation, 2010, 217(8): 3792-3800.

DOI：10.1016/j.amc.2010.09.038

• Singular
• Higher-order
• m-point
• Sign-changing
• Eigenvalue
• Topological degree

This paper studies the existence of nontrivial solutions for a class of higher-order m-point singular boundary value problems based on the topological degree of a completely continuous field, the first eigenvalue and its corresponding eigenfunction of a special linear operator. The nonlinear term in the boundary value problems is sign-changing and may be unbounded from below.

• 出版日期2010-12-15
• 单位中国矿业大学（北京）; 曲阜师范大学