MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR THIRD-ORDER THREE-POINT BOUNDARY-VALUE PROBLEMS

作者：Guo Li Jun; Sun Jian Ping^*; Zhao Ya Hong

来源：Electronic Journal of Differential Equations, 2007, 112.

• Third-order boundary value problem
• positive solution
• three-point boundary value problem
• existence
• cone
• fixed point

This paper concerns the nonlinear third-order three-point boundary-value problem u'''(t) + h(t)f(u(t)) = 0, t is an element of(0, 1), u(0) = u'(0) = 0, u'(1) = alpha u'(eta), where 0 < eta < 1 and 1 < alpha < (1/eta.) First, we establish the existence of at least three positive solutions by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2m-1 positive solutions for arbitrary positive integer m.

• 出版日期2007
• 单位兰州理工大学