The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

Existence of Solutions for Third Order Nonlinear Boundary Value Problems

Author(s):

Yue Hu and Zuodong Yang

School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu Nanjing 210097,
China.
huu3y2@163.com

College of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210046,
China.
zdyang_jin@263.net
yangzuodong@njnu.edu.cn


Abstract:

In this paper, the existence of solution for a class of third order quasilinear ordinary differential equations with nonlinear boundary value problems

p(u"))'=f(t,u,u',u"), u(0)=A, u'(0)=B, R(u'(1),u"(1))=0

is established. The results are obtained by using upper and lower solution methods.

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