Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509520 | Journal of Computational and Applied Mathematics | 2005 | 11 Pages |
Abstract
This paper deals with the existence of solutions for the following nth order multi-point boundary value problem at resonancex(n)(t)=f(t,x(t),xâ²(t),â¦,x(n-1)(t))+e(t),tâ(0,1),x(0)=âi=1m-2αix(ξi),xâ²(0)=â¯=x(n-2)(0)=0,x(1)=x(η),where f:[0,1]ÃRnâ¶R is a continuous function, eâL1[0,1], αiâR(1⩽i⩽m-2), 0<ξ1<ξ2<â¯<ξm-2<1 and 0<η<1. An existence theorem is obtained by using the coincidence degree theory of Mawhin.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zengji Du, Xiaojie Lin, Weigao Ge,