Multiple positive solutions for second-order m-point boundary value problems

作者：Jiang Weihua^*; Guo Yanping

来源：Journal of Mathematical Analysis and Applications, 2007, 327(1): 415-424.

DOI：10.1016/j.jmaa.2006.04.006

• Green's function
• the five functionals fixed point theorem
• m-point boundary value problem

In this paper, the second-order m-point boundary value problem
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is studied, where k(i) > 0 (i = 1, 2,..., m - 2), 0 < xi 1 < xi 2 <(...)< xi(m-2) < 1. We give at first the associated Green's function and its properties for the m-point boundary value problem, and growth conditions are imposed on f which yield the existence of at least three positive solutions by using the five functionals fixed point theorem and the properties.

• 出版日期2007-3-1
• 单位河北科技大学