MULTIPLE POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BVP WITH SIGN-CHANGING GREEN'S FUNCTION

作者：Sun, Jian-Ping^*; Zhao, Juan

来源：Electronic Journal of Differential Equations, 2012, 118.

• Third-order three-point boundary-value problem
• sign-changing Green's function
• positive solution

This article concerns the third-order three-point boundary-value problem
u'''(t) = f(t, u(t)), t is an element of [0,1],
u'(0) = u(1) = u ''(eta) = 0.
Although the corresponding Green's function is sign-changing, we still obtain the existence of at least 2m - 1 positive solutions for arbitrary positive integer m under suitable conditions on f.

• 出版日期2012-7-14
• 单位兰州理工大学