Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636183 | Applied Mathematics and Computation | 2006 | 9 Pages |
Abstract
In this paper, we study the expression and properties of Green’s function for nth order m-point boundary value problem.u(n)(t)+a(t)f(u)=0,t∈(0,1)u(0)=u′(0)=⋯=u(n-2)(0)=0,u(1)=∑i=1m-2αiu(ηi),where 0 < η1 < η2 < ⋯ < ηn−2 < 1, αi > 0 with ∑i=1m-2αiηin-1<1, furthermore, we obtained the existence of positive solutions by meas of fixed point index theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Changci Pang, Wei Dong, Zhongli Wei,